Tootfinder

Goppa Duality for Surfaces
Hikari Iwasaki
https://arxiv.org/abs/2510.11951 https://arxiv.org/pdf/2510.11951

Goppa Duality for Surfaces
Gale duality is an involution of point configurations in projective spaces. Goppa duality extends this concept to a duality between linear series on a Gorenstein curve passing through prescribed points. We generalize this classical result to surfaces, establishing a duality for linear series on surfaces realizing prescribed points as a complete intersection of two divisors. We present several applications, including existence and uniqueness results for Veronese surfaces satisfying conditions to…

Consistent truncation and generalized duality based on exceptional generalized cosets
Falk Hassler, Yuho Sakatani
https://arxiv.org/abs/2510.12799 https://…

Consistent truncation and generalized duality based on exceptional generalized cosets
We present a systematic framework for constructing consistent truncations of supergravity based on exceptional generalized cosets of the form $\GS \backslash G/H$. This approach generalizes the well-established generalized Scherk-Schwarz reductions on generalized parallelizable spaces $G/H$, which preserve maximal supersymmetry, to scenarios with reduced supersymmetry by introducing a non-trivial generalized structure group $\GS$. The double coset structure plays two distinct roles: for a given…

Bilateral facial reduction: qualification-free subdifferential calculus and exact duality in convex analysis
Matthew S. Scott
https://arxiv.org/abs/2510.12244 https://

Bilateral facial reduction: qualification-free subdifferential calculus and exact duality in convex analysis
This paper introduces a geometric framework to extend convex analysis results beyond standard qualification conditions such as intersecting relative interiors of domains. We define the joint facial subspace $T$ as the span of the face of $C - D$ generated by $0$, with its affine translation $T_a$ containing $C \cap D$. The intersections $C \cap T_a$ and $D \cap T_a$ are faces of the original sets, establishing $T_a$ as a bilateral facial reduction with parallels to Borwein-Wolkowicz facial redu…

Walter Sorel
The duality of vision Genius and versatility in the arts

I keep coming back to the mirror dualities of the oppressed and oppressor under authoritarianism.
The oppressed is portrayed as both weak and godlike. The stereotypes are always some variation on sloth and incompetence, but yet somehow also a menace capable of destroying the "pure" society. To use the most relevant current example, Antifa being both little femme soy boys who would always get beat up by "real men" while also being an international terrorist organization on the brink of overthrowing the US government, the unarmed presence of whom makes the heavily armed agents of ICE flee for their lives. Antifa is both having absolutely no impact on ICE, and also having such an impact on ICE that the military needs to come in to protect them. The contradiction is obvious but never seems to occur to those who hold both to be true at the same time.
But few talk about the duality of the oppressor. The sovereign throughout history has always been both a ruler above the law, sometimes even the representative or incarnation of a divine force. Yet, this same superhuman/god-man is also a baby who needs constant care. This is absolutely a through line from the very earliest records of sovereign cults to modern cult leaders, CEOs, and Trump today. Power, for these people, is expressed both as the ability to force others to enact their will and in the ability to compel others to care for them. Can any of these "men" cook? Can they fix anything themselves? They are driven everywhere, cooked for all the time, constantly protected from danger. Kings are still dressed, at least for rituals. I could dissect masculinity here, but that's a whole thing.
It is as though the drive to care for our children, who must be taught to behave within acceptable norms, is hijacked by "leaders" who demand our care and attention... even at the expense of our literal children. And recently we've seen some of those very CEOs, with LLMs and return to office demands, show that their judgment is also little better than children, making decisions while pretending to understand a subject.
The oppressed are portrayed as both god-like and impotent and are, in fact, neither. Meanwhile the rulers portray themselves only as invulnerable and are, in fact, childish in their ability to survive without constant support. Their greatest fear from the collapse of society is figuring out how to make sure people keep taking care of them.
It just keeps rattling around in my head.
#USPol

Koszul dual $\mathcal{A}_{\infty}$-algebras from star-shaped diagrams -- part 2
Isabella Khan
https://arxiv.org/abs/2510.12575 https://arxiv.org/pdf/2510.1…

Koszul dual $\mathcal{A}_{\infty}$-algebras from star-shaped diagrams -- part 2
This paper proves a Koszul duality result between weighted $\mathcal{A}_{\infty}$-algebras constructed in the author's previous work. In the process, we construct a new box tensor product for weighted $\mathcal{A}_{\infty}$ bimodules, and verify a correspondence between weighted $\mathcal{A}_{\infty}$-algebra maps and a particular class of $\mathcal{A}_{\infty}$-bimodule. This paper is part 2 of arXiv:2408.01564.

Resolving the Structural Duality of Graphene Grain Boundaries
Haojie Guo, Emiliano Ventura-Mac\'ias, Mariano D. Jim\'enez-S\'anchez, Nicoleta Nicoara, Pierre Mallet, Jean-Yves Veuillen, Vincent T. Renard, Antonio J. Mart\'inez-Galera, Pablo Pou, Julio G\'omez-Herrero, Rub\'en P\'erez, Iv\'an Brihuega
https://

Resolving the Structural Duality of Graphene Grain Boundaries
Grain boundaries (GBs) are ubiquitous in large-scale graphene samples, playing a crucial role in their overall performance. Due to their complexity, they are usually investigated as model structures, under the assumption of a fully relaxed interface. Here, we present cantilever-based non-contact atomic force microscopy (ncAFM) as a suitable technique to resolve, atom by atom, the complete structure of these linear defects. Our experimental findings reveal a richer scenario than expected, with t…

A Duality Theorem for Classical-Quantum States with Applications to Complete Relational Program Logics
Gilles Barthe, Minbo Gao, Jam Kabeer Ali Khan, Matthijs Muis, Ivan Renison, Keiya Sakabe, Michael Walter, Yingte Xu, Li Zhou
https://arxiv.org/abs/2510.07051

A Duality Theorem for Classical-Quantum States with Applications to Complete Relational Program Logics
Duality theorems play a fundamental role in convex optimization. Recently, it was shown how duality theorems for countable probability distributions and finite-dimensional quantum states can be leveraged for building relatively complete relational program logics for probabilistic and quantum programs, respectively. However, complete relational logics for classical-quantum programs, which combine classical and quantum computations and operate over classical as well as quantum variables, have rem…

GKLO representations of twisted Yangians in type $\mathsf{AI}$ and quantizations of symmetric quotients of the affine Grassmannian
Robin Bartlett, Tomasz Przezdziecki, Lukas Tappeiner
https://arxiv.org/abs/2510.12706

GKLO representations of twisted Yangians in type $\mathsf{AI}$ and quantizations of symmetric quotients of the affine Grassmannian
We construct an analogue of Gerasimov-Kharchev-Lebedev-Oblezin (GKLO) representations for twisted Yangians of type $\mathsf{AI}$, using the recently found current presentation of these algebras due to Lu, Wang and Zhang. These new representations allow us to define interesting truncations of twisted Yangians, which, in the spirit of Ciccoli-Drinfeld-Gavarini quantum duality, reflect the Poisson geometry of homogeneous spaces. As our main result, we prove that a truncated twisted Yangian quantiz…

Replaced article(s) found for math.LO. https://arxiv.org/list/math.LO/new
[1/1]:
- Priestley-style duality for filter-distributive congruential logics
Mar\'ia Esteban, Ramon Jansana

On Structured State-Space Duality
Jerry Yao-Chieh Hu, Xiwen Zhang, Weimin Wu, Han Liu
https://arxiv.org/abs/2510.04944 https://arxiv.org/pdf/2510.04944

On Structured State-Space Duality
Structured State-Space Duality (SSD) [Dao & Gu, ICML 2024] is an equivalence between a simple Structured State-Space Model (SSM) and a masked attention mechanism. In particular, a state-space model with a scalar-times-identity state matrix is equivalent to a masked self-attention with a $1$-semiseparable causal mask. Consequently, the same sequence transformation (model) has two algorithmic realizations: as a linear-time $O(T)$ recurrence or as a quadratic-time $O(T^2)$ attention. In this note,…

Martingale Optimal Transport and Martingale Schr\"odinger Bridges for Calibration of Stochastic Volatility Models
Antonios Zitridis
https://arxiv.org/abs/2510.10860 https:/…

Martingale Optimal Transport and Martingale Schrödinger Bridges for Calibration of Stochastic Volatility Models
Motivated by recent developments in the calibration of stochastic volatility models (SVMs for short), we study continuous-time formulations of martingale optimal transport and martingale Schrödinger bridge problems. We establish duality formulas and also provide alternative proofs, via different techniques, of duality results previously established in the mathematical finance literature. Applications include calibration of SVMs to SPX options, as well as joint calibration to both SPX and VIX o…

Graded Lawson-Stone Duality
Roozbeh Hazrat, Zachary Mesyan
https://arxiv.org/abs/2510.06497 https://arxiv.org/pdf/2510.06497…

Graded Lawson-Stone Duality
The classical Stone duality associates to each Boolean algebra a topological space consisting of ultrafilters. Lawson's generalisation constructs a dual equivalence of categories of Boolean inverse $\land$-semigroups and Hausdorff ample topological groupoids. We further generalise the duality to the graded analogues of those categories, and provide various illustrations.

Quantum Howe duality and Schur duality of type AIII
Weinan Zhang
https://arxiv.org/abs/2509.18982 https://arxiv.org/pdf/2509.18982

Exploring Network-Knowledge Graph Duality: A Case Study in Agentic Supply Chain Risk Analysis
Evan Heus, Rick Bookstaber, Dhruv Sharma
https://arxiv.org/abs/2510.01115 https://

Exploring Network-Knowledge Graph Duality: A Case Study in Agentic Supply Chain Risk Analysis
Large Language Models (LLMs) struggle with the complex, multi-modal, and network-native data underlying financial risk. Standard Retrieval-Augmented Generation (RAG) oversimplifies relationships, while specialist models are costly and static. We address this gap with an LLM-centric agent framework for supply chain risk analysis. Our core contribution is to exploit the inherent duality between networks and knowledge graphs (KG). We treat the supply chain network as a KG, allowing us to use struc…

The Tur\'{a}n and Delsarte problems and their duals
Mihail N. Kolountzakis, Nir Lev, M\'at\'e Matolcsi
https://arxiv.org/abs/2510.10172 https://

The Turán and Delsarte problems and their duals
We study two optimization problems for positive definite functions on Euclidean space with restrictions on their support and sign: the Turan problem and the Delsarte problem. These problems have been studied also for their connections to geometric problems of tiling and packing. In the finite group setting the weak and strong linear duality for these problems are automatic. We prove these properties in the continuous setting. We also show the existence of extremizers for these problems and thei…

Carleman Estimates and Controllability of Forward Stochastic Parabolic Equations with General Dynamic Boundary Conditions
Said Boulite, Abdellatif Elgrou, Lahcen Maniar, Abdelaziz Rhandi
https://arxiv.org/abs/2510.12345

Carleman Estimates and Controllability of Forward Stochastic Parabolic Equations with General Dynamic Boundary Conditions
We derive a new Carleman estimate for a general backward stochastic parabolic equation with dynamic boundary conditions, incorporating weak divergence source terms in both the bulk and surface equations. This estimate is obtained through two main steps: first, by refining a known Carleman estimate for backward stochastic parabolic equations to explicitly account for the dependence of the parameters on the final control time \(T\); second, by applying a duality technique to address weak divergen…

Replaced article(s) found for physics.app-ph. https://arxiv.org/list/physics.app-ph/new
[1/1]:
- Generalized causality constraint based on duality symmetry reveals untapped potential of sound ab...
Qu, Yang, Huang, Liu, Dong, Li, Sheng, Abrahams, Fang

Correlation Function/Wilson Loop Duality in Gauge Theory from EFT
Hao Chen, Pier Francesco Monni, Zhaoyan Pang, Gherardo Vita, Hua Xing Zhu
https://arxiv.org/abs/2510.07377 http…

Correlation Function/Wilson Loop Duality in Gauge Theory from EFT
In this Letter, we initiate a systematic study of the $n$-point correlation functions (CF) in gauge theories in the sequential light-cone (SLC) limit. Focusing on QCD, we formulate a factorization theorem for the CF of four vector currents in this limit using tools from soft-collinear effective field theory (SCET). This result unveils a duality between CF and Wilson loops in non-conformal field theories, according to which the singular structure of the CF is described by a null polygonal Wilson…

Haag Duality for 2D Quantum Spin Systems
Yoshiko Ogata, David P\'erez-Garc\'ia, Alberto Ruiz-de-Alarc\'on
https://arxiv.org/abs/2509.23734 https://

Haag Duality for 2D Quantum Spin Systems
Haag duality is a strong notion of locality for two-dimensional lattice quantum spin systems, requiring that the commutant of the algebra of observables supported in a cone-like region coincides with the algebra of observables in its complement. Originally introduced within algebraic quantum field theory, Haag duality has recently become pivotal in the operator-algebraic analysis of quantum many-body systems. In particular, it plays a key role in the description of anyonic excitations, which ar…

Privacy startup Duality says it has developed a private LLM inference framework that uses fully homomorphic encryption to let LLMs answer encrypted prompts (Rina Diane Caballar/IEEE Spectrum)
https://spectrum.ieee.org/homomorphic-encryption-llm

Homomorphic Encryption LLM Secures AI Chats
Can your chatbot keep secrets? Discover how Duality's tech is changing the privacy game for AI conversations.

Replaced article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- Large N limit of spectral duality in classical integrable systems
R. Potapov, A. Zotov
https://arxiv.org/abs/2508.16470 https://mastoxiv.page/@arXiv_hepth_bot/115088499048781554
toXiv_bot_toot

Duality Structures in Unimodular Electrovacuum Gravity
Jack C. M. Hughes, Fedor V. Kusmartsev
https://arxiv.org/abs/2510.03048 https://arxiv.org/pdf/2510.0…

Duality Structures in Unimodular Electrovacuum Gravity
We show that the structure of the Lorentz group in four dimensions is such that unimodular (trace-free) gravity in electrovacuum can be consistently represented as an algebraic condition on the symmetric product space of 2-forms. This condition states that the commutator between the Riemann tensor and the Hodge dual must be equal to the commutator between Hodge dual and an operator constructed from the Maxwell tensor; symbolically, $[\text{Riem}, \star] = [\star, F \boxtimes F]$. We show that t…

Demystifying Codensity Monads via Duality
Fabian Lenke, Nico Wittrock, Stefan Milius, Henning Urbat
https://arxiv.org/abs/2509.26197 https://arxiv.org/pdf/…

Demystifying Codensity Monads via Duality
Codensity monads provide a universal method to generate complex monads from simple functors. Recently, a wide range of important monads in logic, denotational semantics, and probabilistic computation, such as several incarnations of the ultrafilter monad, the Vietoris monad, and the Giry monad, have been presented as codensity monads, using complex arguments. We propose a unifying categorical approach to codensity presentations of monads, based on the idea of relating the presenting functor to …

From gauging to duality in one-dimensional quantum lattice models
Bram Vancraeynest-De Cuiper, Jos\'e Garre-Rubio, Frank Verstraete, Kevin Vervoort, Dominic J. Williamson, Laurens Lootens
https://arxiv.org/abs/2509.22051

From gauging to duality in one-dimensional quantum lattice models
Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making use of matrix product operators, which provide the lattice representation theory for global (categorical) symmetries as well as a classification of duality transformations. Our construction makes the symmetries of the gauged theory manifest and clarifies how t…

Modeling information acquisition via f-divergence and duality
Alex Bloedel, Tommaso Denti, Luciano Pomatto
https://arxiv.org/abs/2510.03482 https://arxiv.o…

Modeling information acquisition via f-divergence and duality
We introduce a new cost function over experiments, f-information, based on the theory of multivariate statistical divergences, that generalizes Sims's classic model of rational inattention as well as the class of posterior-separable cost functions. We characterize its behavioral predictions by deriving optimality conditions that extend those of Matejka and McKay (2015) and Caplin, Dean, and Leahy (2019) beyond mutual information. Using these tools, we study the implications of f-information in …

Delsarte duality on subspaces and applications to rank-metric codes and q-matroids
Martino Borello, Olga Polverino, Ferdinando Zullo
https://arxiv.org/abs/2509.24409 https://

Delsarte duality on subspaces and applications to rank-metric codes and q-matroids
We study the interplay between the lattice of F_{q^m}-subspaces and the lattice of F_{q^m}-subspaces of an F_{q^m}-vector space. Introducing notions of weight and defect relative to an F_q-subspace, we analyze the sequence of maximum non-zero defects. We establish a correspondence between subspaces of positive defect and their Delsarte duals, enabling explicit characterizations of the associated sequences of maximum non-zero defects. Our framework unifies several classes of subspaces studied in…

Exploring Network-Knowledge Graph Duality: A Case Study in Agentic Supply Chain Risk Analysis
Evan Heus, Rick Bookstaber, Dhruv Sharma
https://arxiv.org/abs/2510.01115 https://

Exploring Network-Knowledge Graph Duality: A Case Study in Agentic Supply Chain Risk Analysis
Large Language Models (LLMs) struggle with the complex, multi-modal, and network-native data underlying financial risk. Standard Retrieval-Augmented Generation (RAG) oversimplifies relationships, while specialist models are costly and static. We address this gap with an LLM-centric agent framework for supply chain risk analysis. Our core contribution is to exploit the inherent duality between networks and knowledge graphs (KG). We treat the supply chain network as a KG, allowing us to use struc…

Artin--Mazur formal groups and Milne duality via unipotent spectra
Shubhodip Mondal, Tasos Moulinos, Lucy Yang
https://arxiv.org/abs/2510.06152 https://arx…

Artin--Mazur formal groups and Milne duality via unipotent spectra
We introduce and develop the notion of "unipotent spectra." This is defined to be the stabilization of Toën's category of affine stacks, and is related to recent work of Mondal--Reinecke. Unipotent spectra give rise to unipotent stable homotopy groups and unipotent homology, which are new invariants for schemes valued in unipotent group schemes. As applications, we recover the Artin--Mazur formal groups associated to schemes without any vanishing assumptions. Further, we show that syntomic coh…

Recent advances in perturbative QCD at high density
Pablo Navarrete, Aleksi Vuorinen
https://arxiv.org/abs/2510.08215 https://arxiv.org/pdf/2510.08215

Recent advances in perturbative QCD at high density
In these conference proceedings, we discuss recent progress in high-order perturbative studies of the thermodynamic and transport properties of dense quark matter. Special emphasis is placed on the introduction of a promising new computational tool, thermal Loop Tree Duality, which enables pushing the existing weak-coupling calculations to higher perturbative orders.

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[4/4]:
- On Structured State-Space Duality
Jerry Yao-Chieh Hu, Xiwen Zhang, Weimin Wu, Han Liu

Robust Pricing and Hedging of American Options in Continuous Time
Ivan Guo, Jan Ob\l\'oj
https://arxiv.org/abs/2510.05463 https://arxiv.org/pdf/2510.05…

Robust Pricing and Hedging of American Options in Continuous Time
We consider the robust pricing and hedging of American options in a continuous time setting. We assume asset prices are continuous semimartingales, but we allow for general model uncertainty specification via adapted closed convex constraints on the volatility. We prove the robust pricing-hedging duality. When European options with given prices are available for static trading, we show that duality holds against richer models where these options are traded dynamically. Our proofs rely on probab…

Stokes' theorem as an entropy-extremizing duality
Daniel Lazarev
https://arxiv.org/abs/2509.16386 https://arxiv.org/pdf/2509.16386

Stokes' theorem as an entropy-extremizing duality
Given a manifold $\mathcal{M} \subset \mathbb{R}^n$, we consider all subsets of $\mathcal{M}$ that satisfy the generalized Stokes' theorem and show that $\partial\mathcal{M}$ maximizes the associated information theoretic entropy functional. This provides an information theoretic characterization of the duality expressed by Stokes' theorem, whereby the boundary of a manifold is the `least informative' subset of the manifold satisfying the Stokes relation.

Public-Key Encryption from the MinRank Problem
Rohit Chatterjee, Changrui Mu, Prashant Nalini Vasudevan
https://arxiv.org/abs/2510.03752 https://arxiv.org/…

Public-Key Encryption from the MinRank Problem
We construct a public-key encryption scheme from the hardness of the (planted) MinRank problem over uniformly random instances. This corresponds to the hardness of decoding random linear rank-metric codes. Existing constructions of public-key encryption from such problems require hardness for structured instances arising from the masking of efficiently decodable codes. Central to our construction is the development of a new notion of duality for rank-metric codes.

Increasing Value of Information Implies Separable Utility
Michel de Lara (CERMICS)
https://arxiv.org/abs/2510.11102 https://arxiv.org/pdf/2510.11102…

Increasing Value of Information Implies Separable Utility
We consider decision-making under incomplete information about an unknown state of nature. Utility acts (that is, utility vectors indexed by states of nature) and beliefs (probability distributions over the states of nature) are naturally paired by bilinear duality, giving the expected utility. With this pairing, an expected utility maximizer (DM) is characterized by a continuous closed convex comprehensive set of utility acts (c-utility act set). We show that DM M values information more than …

Representation theory of the principal equivariant $\mathcal{W}$-algebra and Langlands duality
Damien Simon
https://arxiv.org/abs/2510.06990 https://arxiv.…

Representation theory of the principal equivariant $\mathcal{W}$-algebra and Langlands duality
The object of this article is to study some aspects of the quantum geometric Langlands program in the language of vertex algebras. We investigate the representation theory of the vertex algebra of chiral differential operators on a reductive group $\mathcal{D}_{G}^κ$ for generic levels. For instance we show that the geometric Satake equivalence degenerates. Then, we study the representation theory of the equivariant affine $\mathcal{W}$-algebra $\mathcal{W}_{G}^κ$, defined by Arakawa as the p…

K-Points and Type IIB/Heterotic Duality with NS5-Branes
Jeroen Monnee, Timo Weigand, Max Wiesner
https://arxiv.org/abs/2510.02435 https://arxiv.org/pdf/251…

K-Points and Type IIB/Heterotic Duality with NS5-Branes
We revisit type II$_0$ limits in the vector multiplet moduli space of compactifications of Type IIB string theory on Calabi-Yau threefolds. These limits are special because they cannot be described using mirror symmetry. While we showed in previous work that the gravitational duality frame emerging in such limits corresponds to a weakly coupled heterotic string compactified on K3 times a string-sized torus, our focus here is on the additional field theory sectors that decouple from gravity in t…

Duality of Lipschitz-free spaces over ultrametric spaces
Trond A. Abrahamsen, Vegard Lima, Andre Ostrak
https://arxiv.org/abs/2509.22328 https://arxiv.org/…

Duality of Lipschitz-free spaces over ultrametric spaces
We give a metric characterisation of when the Lipschitz-free space over a separable ultrametric space is a dual Banach space. In the case where the Lipschitz-free space has a predual we show that this predual is M-embedded if and only if the metric space is proper. We show that for ultrametric spaces, the little Lipschitz space is always an M-ideal in the corresponding space of Lipschitz functions and we show that this is not the case for metric spaces in general thus answering a question posed…

Crosschecking Cosmic Distances from DESI BAO and DES SNe Points to Systematics
Mauricio Lopez-Hernandez, Eoin \'O Colg\'ain, Saeed Pourojaghi, M. M. Sheikh-Jabbari
https://arxiv.org/abs/2510.04179

Crosschecking Cosmic Distances from DESI BAO and DES SNe Points to Systematics
We perform a consistency check of DESI DR2 BAO constraints ($D_M/r_d, D_H/r_d)$ by reconstructing the same quantities from DES supernovae (SNe) in bins with the same effective redshift $z_{\textrm{eff}}$. We find that the ratio of $D_M/r_d$ values are consistent with a horizontal, thus confirming that the distance duality relation holds up to calibration. However, the $D_H/r_d$ ratio shows a decreasing trend with $z_{\textrm{eff}}$ at $2.3 σ$ to $2.5 σ$ that cannot be explained by physics. We…

Coupling Theory, Optimal Transport, and Strassen's Theorem Beyond Regular Orders
Adam Quinn Jaffe, Daniel Raban
https://arxiv.org/abs/2509.21616 https://

Coupling Theory, Optimal Transport, and Strassen's Theorem Beyond Regular Orders
Many results in probability (most famously, Strassen's theorem on stochastic domination), characterize some relationship between probability distributions in terms of the existence of a particular structured coupling between them. Optimal transport, and in particular Kantorovich duality, provides a framework for formally unifying these results, but the standard duality theory requires topological conditions that are not satisfied in some settings. In this work, we investigate the extent to whic…

Engineering Magnetic States and Magnetoresistance in Bisegmented Co-Ni Jellyfish Nanowires via Interplay of Shape and Magnetocrystalline Anisotropies
M. I. Sobirov, K. A. Rogachev, M. A. Bazrov, Zh. Zh. Namsaraev, I. M. Sapovskii, T. R. Rakhmatullaev, N. V. Ilin, A. O Lembikov, S. M. Pisarev, A. V. Ognev, A. S. Samardak, A. Yu. Samardak
https://

Engineering Magnetic States and Magnetoresistance in Bisegmented Co-Ni Jellyfish Nanowires via Interplay of Shape and Magnetocrystalline Anisotropies
Expanding the spectrum of 3D magnetic nanostructures requires mastering the interplay between different anisotropy contributions. Here, we fabricate bisegmented jellyfish nanowires with tailored arrangements of Co (strong magnetocrystalline anisotropy) and Ni (dominant shape anisotropy) segments. We uncover a unique magnetic duality: Co segments can be tuned to exhibit either a flux-closing multidomain state or a shape-anisotropy-dominated vortex configuration, directly governed by their geomet…

Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors
Rustam Steingart
https://arxiv.org/abs/2510.00775 https://arxiv.org/pdf/2510.00775

Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors
In this article we revisit the partial Selmer groups introduced by Ding in cohomological degree one. On the subcategory of partially de Rham positive $B$-pairs we extend them to higher cohomological degree and show that the resulting groups form a cohomological delta functor satisfying a variant of the Euler--Poincaré characteristic formula and Tate duality.

Uniqueness of purifications is equivalent to Haag duality
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
https://arxiv.org/abs/2509.12911 https://

Uniqueness of purifications is equivalent to Haag duality
The uniqueness of purifications of quantum states on a system $A$ up to local unitary transformations on a purifying system $B$ is central to quantum information theory. We show that, if the two systems are modelled by commuting von Neumann algebras $M_A$ and $M_B$ on a Hilbert space $\mathcal H$, then uniqueness of purifications is equivalent to Haag duality $M_A = M_B'$. In particular, the uniqueness of purifications can fail in systems with infinitely many degrees of freedom -- even when $M_…

Duality theory of tautological systems
Paul G\"orlach, Christian Sevenheck
https://arxiv.org/abs/2510.01980 https://arxiv.org/pdf/2510.01980

Duality theory of tautological systems
We discuss the holonomic dual of tautological systems, with a view towards applications to linear free divisors and to homogeneous spaces. As a technical tool, we consider a Chevalley--Eilenberg type complex, generalizing Euler--Koszul technology from the GKZ theory, and show equivariance and holonomicity of it.

Non-conservative optimal transport
Gabriela Kov\'a\v{c}ov\'a, Georg Menz, Niket Patel
https://arxiv.org/abs/2510.03332 https://arxiv.org/pdf/2510.0…

Non-conservative optimal transport
Motivated by optimal re-balancing of a portfolio, we formalize an optimal transport problem in which the transported mass is scaled by a mass-change factor depending on the source and destination. This allows direct modeling of the creation or destruction of mass. We discuss applications and position the framework alongside unbalanced, entropic, and unnormalized optimal transport. The existence of optimal transport plans and strong duality are established. The existence of optimal maps are dedu…

T-duality and bosonization as examples of continuum gauging and disentangling
Gertian Roose, Erez Zohar
https://arxiv.org/abs/2509.24630 https://arxiv.org/…

T-duality and bosonization as examples of continuum gauging and disentangling
Dualities and duality transformations form a well established methodology in various aspects of quantum many body physics and quantum field theories, allowing one to exploit equivalence between models which may naively seem completely different in order to gain access to further physical regimes, either analytically, numerically or experimentally. Recently, in the context of condensed matter physics and quantum information, it was shown that dualities can be understood very well through a gaugi…

Replaced article(s) found for math.OC. https://arxiv.org/list/math.OC/new
[1/1]:
- A robust BFGS algorithm for unconstrained nonlinear optimization problems
Yaguang Yang
https://arxiv.org/abs/1212.5929
- Quantum computing and the stable set problem
Alja\v{z} Krpan, Janez Povh, Dunja Pucher
https://arxiv.org/abs/2405.12845 https://mastoxiv.page/@arXiv_mathOC_bot/112483516437815686
- Mean Field Game with Reflected Jump Diffusion Dynamics: A Linear Programming Approach
Zongxia Liang, Xiang Yu, Keyu Zhang
https://arxiv.org/abs/2508.20388 https://mastoxiv.page/@arXiv_mathOC_bot/115111048711698998
- Differential Dynamic Programming for the Optimal Control Problem with an Ellipsoidal Target Set a...
Sungjun Eom, Gyunghoon Park
https://arxiv.org/abs/2509.07546 https://mastoxiv.page/@arXiv_mathOC_bot/115179281556444440
- On the Moreau envelope properties of weakly convex functions
Marien Renaud, Arthur Leclaire, Nicolas Papadakis
https://arxiv.org/abs/2509.13960 https://mastoxiv.page/@arXiv_mathOC_bot/115224514482363803
- Automated algorithm design via Nevanlinna-Pick interpolation
Ibrahim K. Ozaslan, Tryphon T. Georgiou, Mihailo R. Jovanovic
https://arxiv.org/abs/2509.21416 https://mastoxiv.page/@arXiv_mathOC_bot/115286533597711930
- Optimal Control of a Bioeconomic Crop-Energy System with Energy Reinvestment
Othman Cherkaoui Dekkaki
https://arxiv.org/abs/2510.11381 https://mastoxiv.page/@arXiv_mathOC_bot/115372322896073250
- Point Convergence Analysis of the Accelerated Gradient Method for Multiobjective Optimization: Co...
Yingdong Yin
https://arxiv.org/abs/2510.26382 https://mastoxiv.page/@arXiv_mathOC_bot/115468018035252078
- History-Aware Adaptive High-Order Tensor Regularization
Chang He, Bo Jiang, Yuntian Jiang, Chuwen Zhang, Shuzhong Zhang
https://arxiv.org/abs/2511.05788
- Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems
Jos\'e Antonio Carrillo, Sondre Tesdal Galtung
https://arxiv.org/abs/2312.04932 https://mastoxiv.page/@arXiv_mathAP_bot/111560077272113052
- Kernel Modelling of Fading Memory Systems
Yongkang Huo, Thomas Chaffey, Rodolphe Sepulchre
https://arxiv.org/abs/2403.11945 https://mastoxiv.page/@arXiv_eessSY_bot/112121123836064435
- The Maximum Theoretical Ground Speed of the Wheeled Vehicle
Altay Zhakatayev, Mukatai Nemerebayev
https://arxiv.org/abs/2502.15341 https://mastoxiv.page/@arXiv_physicsclassph_bot/114057765769441123
- Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity
Giacomo Greco, Luca Tamanini
https://arxiv.org/abs/2504.11133 https://mastoxiv.page/@arXiv_mathPR_bot/114346453424694503
- Optimizing the ground state energy of the three-dimensional magnetic Dirichlet Laplacian with con...
Matthias Baur
https://arxiv.org/abs/2504.21597 https://mastoxiv.page/@arXiv_mathph_bot/114431404740241516
- A localized consensus-based sampling algorithm
Arne Bouillon, Alexander Bodard, Panagiotis Patrinos, Dirk Nuyens, Giovanni Samaey
https://arxiv.org/abs/2505.24861 https://mastoxiv.page/@arXiv_mathNA_bot/114612580684567066
- A Novel Sliced Fused Gromov-Wasserstein Distance
Moritz Piening, Robert Beinert
https://arxiv.org/abs/2508.02364 https://mastoxiv.page/@arXiv_csLG_bot/114976243138728278
- Minimal Regret Walras Equilibria for Combinatorial Markets via Duality, Integrality, and Sensitiv...
Alo\"is Duguet, Tobias Harks, Martin Schmidt, Julian Schwarz
https://arxiv.org/abs/2511.09021 https://mastoxiv.page/@arXiv_csGT_bot/115541243299714775
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Crosslisted article(s) found for physics.soc-ph. https://arxiv.org/list/physics.soc-ph/new
[1/1]:
- Exploring Network-Knowledge Graph Duality: A Case Study in Agentic Supply Chain Risk Analysis
Evan Heus, Rick Bookstaber, Dhruv Sharma

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- A minimal model for prestacks and morphisms of operadic algebras via Koszul duality for box operads
Lander Hermans

Global Analysis of the {Gray--Scott} Model with Fractional--Classical Diffusion
Md Shah Alam
https://arxiv.org/abs/2509.24019 https://arxiv.org/pdf/2509.24…

Global Analysis of the {Gray--Scott} Model with Fractional--Classical Diffusion
We analyze the Gray--Scott reaction--diffusion system on $Ω\subset\mathbb{R}^n$ ($n\ge 1$) with mixed diffusion combining local and nonlocal operators. Using semigroup methods and duality estimates, we prove global existence of componentwise nonnegative solutions and establish uniform-in-time bounds. Numerical simulations illustrate pattern formation and highlight qualitative differences between the purely local and mixed-diffusion models.

Defects in Wigner crystals: fracton-elasticity duality and vacancy proliferation
Pawe{\l} Matus
https://arxiv.org/abs/2509.14344 https://arxiv.org/pdf/2509…

Defects in Wigner crystals: fracton-elasticity duality and vacancy proliferation
We develop a low-energy field theory for electrically charged crystals. Using the tools of fracton-elasticity duality, generalized to accommodate the magnetic 1-form symmetry of electromagnetism, we show how the elastic and electromagnetic degrees of freedom couple to the different crystal defects and to one another. The resulting field theory is then used to calculate vacancy-vacancy interaction energy, and to study the consequences of vacancy proliferation. We find that the longitudinal mode,…

Representation theory of mirabolic quantum $\mathfrak{sl}_n$
Pallav Goyal, Daniele Rosso
https://arxiv.org/abs/2510.07469 https://arxiv.org/pdf/2510.07469

Representation theory of mirabolic quantum $\mathfrak{sl}_n$
We show that the mirabolic quantum group $MU(n)$ is a comodule algebra over the quantized enveloping algebra $U_v(\mathfrak{sl}_n)$, and use this structure to give a complete classification of its finite dimensional representations. We also explicitly describe the correspondence between the irreducible finite dimensional representations of $MU(n)$ and the ones for the mirabolic Hecke algebra, given by the mirabolic quantum Schur-Weyl duality.

Code distances: a new family of invariants of linear codes
Eduardo Camps-Moreno, Elisa Gorla, Hiram H. L\'opez
https://arxiv.org/abs/2509.16424 https://

Code distances: a new family of invariants of linear codes
In this paper, we introduce code distances, a new family of invariants for linear codes. We establish some properties and prove bounds on the code distances, and show that they are not invariants of the matroid (for a linear block code) or $q$-polymatroid (for a rank-metric code) associated to the code. By means of examples, we show that the code distances allow us to distinguish some inequivalent MDS or MRD codes with the same parameters. We also show that no duality holds, i.e., the sequence …

Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over $\mathbb R^d$?
Iosif Pinelis
https://arxiv.org/abs/2510.04269

Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over $\mathbb R^d$?
It is shown that the convex order between the distributions of linear functionals does not imply the convex order between the probability distributions over $\mathbb R^d$ if $d\ge2$. This stands in contrast with the well-known fact that any probability distribution in $\mathbb R^d$, for any $d\ge1$, is determined by the corresponding distributions of linear functionals. By duality, it follows that, for any $d\ge2$, not all convex functions from $\mathbb R^d$ to $\mathbb R$ can be represented as…

H\"{o}lder property of the resolvent of a monotone operator in Banach spaces
Changchi Huang, Jigen Peng, Yuchao Tang
https://arxiv.org/abs/2510.03774 https://

Hölder property of the resolvent of a monotone operator in Banach spaces
Let $E$ be a Banach space, and let $J: E \to E^{*}$ denote the normalized duality mapping. In this paper, we establish an upper bound for $\|Jx - Jy\|$ in $q$-uniformly smooth Banach spaces, where the bound is expressed in terms of a relatively simple function of $\|x - y\|$. Subsequently, we derive the Hölder property of mappings of firmly nonexpansive type in 2-uniformly convex and $q$-uniformly smooth Banach spaces ($1

Thermal field theory correlators in the large-$N$ limit and the spectral duality relation
Sa\v{s}o Grozdanov, Mile Vrbica
https://arxiv.org/abs/2509.18074 https://

Thermal field theory correlators in the large-$N$ limit and the spectral duality relation
In Ref.~\cite{Grozdanov:2024wgo}, we derived a spectral duality relation applicable to the spectra of 3$d$ conformal field theories (CFTs) and their holographically dual 4$d$ black holes. In this work, we further elaborate on the properties of this duality relation and argue that the same relation can be applied to certain pairs of thermal correlator spectra in large-$N$ quantum field theories in any number of spacetime dimensions, provided the correlators are meromorphic functions with only si…

Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- Mirror Duality in a Spencer-Type Complex: Analytic and Riemann-Roch Perspectives
Dongzhe Zheng

🇺🇦 #NowPlaying on #BBC6Music's #Grounding
Ian Fink:
🎵 Moonlite
#IanFink
https://k7records.bandcamp.com/track/moonlite-duality-detroit-version

Crosslisted article(s) found for eess.SP. https://arxiv.org/list/eess.SP/new
[1/1]:
- Uplink-Downlink Duality for Beamforming in Integrated Sensing and Communications
Kareem M. Attiah, Wei Yu

Frictional martingale optimal transport and robust hedging
Pratik Rai
https://arxiv.org/abs/2510.08182 https://arxiv.org/pdf/2510.08182

Frictional martingale optimal transport and robust hedging
We study martingale optimal transport (MOT) with state-dependent trading frictions and develop a geometric-duality framework that extends from one time-step to the multi-marginal setting. Building on the frictionless left-monotone structure (Beiglböck and Juillet, Ann. Probab. 2016; Henry-Labordère and Touzi, Finance Stoch. 2016; Beiglböck et al, Ann. Probab. 2017), we penalize trade increments by a convex cost and prove a frictional monotonicity principle. Optimal couplings admit bi-atomic …

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/2]:
- Mirror Symmetry and Level-rank Duality for 3d $\mathcal{N} = 4$ Rank 0 SCFTs
Thomas Creutzig, Niklas Garner, Heeyeon Kim

Serre Duality and the Whitehead Link
Cailan Li
https://arxiv.org/abs/2509.22133 https://arxiv.org/pdf/2509.22133 …

Serre Duality and the Whitehead Link
We prove the action of the full twist is a Serre functor in the homotopy category of dihedral Soergel Bimodules. Our proof relies on the representability of a certain partial trace functor, which we prove using the diagrammatics for Hochschild cohomology of Soergel Bimodules. Leveraging these representability results, we then compute the triply-graded link homology of the Whitehead link.

Crosslisted article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- Non-invertible Kramers-Wannier duality-symmetry in the trotterized critical Ising chain
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
https://arxiv.org/abs/2511.03947 https://mastoxiv.page/@arXiv_quantph_bot/115507778015616448
toXiv_bot_toot

Disorder-driven magnetic duality in the spin-$\frac{1}{2}$ system ktenasite, Cu$_\text{2.7}$Zn$_\text{2.3}$(SO$_\text{4}$)$_\text{2}$(OH)$_\text{6}\cdot$6H$_\text{2}$O
Kaushick K. Parui, Anton A. Kulbakov, Roman Gumeniuk, Eduardo Carrillo-Aravena, Mar\'ia Teresa Fern\'andez-D\'iaz, Stanislav Savvin, Artem Korshunov, Sergey Granovsky, Thomas Doert, Dmytro S. Inosov, Darren C. Peets

Disorder-driven magnetic duality in the spin-$\frac{1}{2}$ system ktenasite, Cu$_\text{2.7}$Zn$_\text{2.3}$(SO$_\text{4}$)$_\text{2}$(OH)$_\text{6}\cdot$6H$_\text{2}$O
Disorder in frustrated quantum systems can critically influence their magnetic ground states and drive exotic correlated behavior. In the $S = \frac{1}{2}$ system ktenasite, Cu$_\text{2.7}$Zn$_\text{2.3}$(SO$_\text{4}$)$_\text{2}$(OH)$_\text{6}\cdot$6H$_\text{2}$O, we show that structural disorder drives an unexpected dimensional crossover and stabilizes a rare coexistence of distinct magnetic states. Neutron diffraction reveals significant Cu/Zn mixing at the Cu2 site, which tunes the Cu$^{2+}…

Convergence, Duality and Well-Posedness in Convex Bilevel Optimization
Khanh-Hung Giang-Tran, Nam Ho-Nguyen, Fatma K{\i}l{\i}n\c{c}-Karzan, Lingqing Shen
https://arxiv.org/abs/2509.18304

Learning with errors may remain hard against quantum holographic attacks
Yunfei Wang, Xin Jin, Junyu Liu
https://arxiv.org/abs/2509.22833 https://arxiv.org…

Learning with errors may remain hard against quantum holographic attacks
The Learning with Errors (LWE) problem underlies modern lattice-based cryptography and is assumed to be quantum hard. Recent results show that estimating entanglement entropy is as hard as LWE, creating tension with quantum gravity and AdS/CFT, where entropies are computed by extremal surface areas. This suggests a paradoxical route to solving LWE by building holographic duals and measuring extremal surfaces, seemingly an easy task. Three possible resolutions arise: that AdS/CFT duality is intr…

Non-invertible Chiral Symmetry and Axions under Electromagnetic Duality
Gongjun Choi, Tony Gherghetta, John Terning
https://arxiv.org/abs/2509.14395 https://

Non-invertible Chiral Symmetry and Axions under Electromagnetic Duality
We study the implications of non-invertible chiral symmetry in a four-dimensional U(1) gauge theory coupled to massless fermions with electromagnetic $SL(2,\mathbb{Z})$ duality. This is done by deriving the Adler-Bell-Jackiw anomaly of massless QED in the dual frame that is used to explicitly construct the symmetry defect operator as well as the conserved two-form symmetry current. As expected, the non-invertible chiral symmetry is covariant under the duality transformation. This has implicatio…

Multiplicative Hitchin fibrations and Langlands duality
Guillermo Gallego
https://arxiv.org/abs/2509.14364 https://arxiv.org/pdf/2509.14364

Multiplicative Hitchin fibrations and Langlands duality
We identify pairs of (twisted) multiplicative Hitchin fibrations which are "dual" in the sense that their bases are identified and their generic fibres are dual Beilinson $1$-motives. More precisely, we match the following: (1) an untwisted multiplicative Hitchin fibration associated with a simply-laced semisimple group $G$ with an untwisted multiplicative Hitchin fibration associated with the Langlands dual group $G^\vee$; (2) a twisted multiplicative Hitchin fibration associated with a simply…

Emergent Mixed States for Baby Universes and Black Holes
Jonah Kudler-Flam, Edward Witten
https://arxiv.org/abs/2510.06376 https://arxiv.org/pdf/2510.06376…

Emergent Mixed States for Baby Universes and Black Holes
We examine the behavior of sequences of states in the large $N$ limit of AdS/CFT duality in cases in which the bulk duals involve baby universes or black holes. Such sequences generally fail to converge as pure states. Under suitable conditions, such as diverging coarse-grained entropy, they can converge to mixed states for the large $N$ algebra, as in the case of black holes. For Euclidean preparations that produce baby universes, the sequences do not converge, due to wormhole contributions, a…

Exponential Hedging for the Ornstein-Uhlenbeck Process in the Presence of Linear Price Impact
Yan Dolinsky
https://arxiv.org/abs/2509.25472 https://arxiv.o…

Exponential Hedging for the Ornstein-Uhlenbeck Process in the Presence of Linear Price Impact
In this work we study a continuous time exponential utility maximization problem in the presence of a linear temporary price impact. More precisely, for the case where the risky asset is given by the Ornstein-Uhlenbeck diffusion process we compute the optimal portfolio strategy and the corresponding value. Our method of solution relies on duality, and it is purely probabilistic.

An algorithm for Aubert-Zelevinsky duality \`a la M{\oe}glin-Waldspurger
Thomas Lanard, Alberto M\'inguez
https://arxiv.org/abs/2509.13231 https://arxi…

An algorithm for Aubert-Zelevinsky duality à la Mœglin-Waldspurger
Let $F$ be a locally compact non-Archimedean field of characteristic $0$, and let $G$ be either the split special orthogonal group $\mathrm{SO}_{2n+1}(F)$ or the symplectic group $\mathrm{Sp}_{2n}(F)$. The goal of this paper is to give an explicit description of the Aubert-Zelevinsky duality for $G$ in terms of Langlands parameters. We present a new algorithm, inspired by the Moeglin-Waldspurger algorithm for $\mathrm{GL}_n(F)$, which computes the dual Langlands data in a recursive and combinat…

A combinatorial approach to Ramana's exact dual for semidefinite programming
Gabor Pataki
https://arxiv.org/abs/2510.07271 https://arxiv.org/pdf/2510.0…

A combinatorial approach to Ramana's exact dual for semidefinite programming
Thirty years ago, in a seminal paper Ramana derived an exact dual for Semidefinite Programming (SDP). Ramana's dual has the following remarkable features: i) it is an explicit, polynomial size semidefinite program ii) it does not assume that the primal is strictly feasible, nor does it make any other regularity assumptions iii) yet, it has strong duality with the primal. The complexity implications of Ramana's dual are fundamental, and to date still the best known. The most important of these i…

Multifractality in the Tree of Life: A Branching-Process RIFS Proof
Kevin Hudnall
https://arxiv.org/abs/2509.26637 https://arxiv.org/pdf/2509.26637

Multifractality in the Tree of Life: A Branching-Process RIFS Proof
We study a branching-process random iterated function system (RIFS) that formalizes the foundational principles of nestedness, duality, and randomness in the living tree of life (Hudnall & D'Souza, 2025). In this construction, each leaf of a branching process generates a subtree at a strictly smaller contraction scale, thereby unifying classical branching processes and random IFS theory in a single framework. We prove rigorously that this branching-process RIFS is multifractal under explicit, m…

On a conjecture of Hosono-Lee-Lian-Yau
Andrew Harder, Sukjoo Lee
https://arxiv.org/abs/2510.02150 https://arxiv.org/pdf/2510.02150

On a conjecture of Hosono-Lee-Lian-Yau
We extend the mirror construction of singular Calabi-Yau double covers, introduced by Hosono, Lee, Lian, and Yau, to a broader class of singular Calabi-Yau $(\mathbb{Z}/2)^k$-Galois covers, and prove Hodge number duality for both the original and extended mirror pairs. A main tool in our approach is an analogue of the Cayley trick, which relates the de Rham complex of the branched covers to the twisted de Rham complex of certain Landau-Ginzburg models. In particular, it reveals direct relations…

Regular black holes with gravitational self-energy as dark matter
Kimet Jusufi, Douglas Singleton
https://arxiv.org/abs/2509.13335 https://arxiv.org/pdf/25…

Regular black holes with gravitational self-energy as dark matter
We incorporate the effect of non-local gravitational self-energy to obtain a neutral, non-singular spacetime geometry. This is achieved by using a non-local gravitational theory inspired by T-duality, where particle mass is not point-like but smeared over a region. This non-local gravitational self-interaction is derived from the Newtonian gravitational potential and energy density, allowing us to define a coordinate-independent quantity. Thus, we incorporate the non-local gravitational field i…

Global Existence and Boundedness of Gray-Scott Model with Local and Nonlocal Diffusion
Md Shah Alam
https://arxiv.org/abs/2509.15535 https://arxiv.org/pdf/…

Global Existence and Boundedness of Gray-Scott Model with Local and Nonlocal Diffusion
In this paper, we study the global existence of component-wise nonnegative solutions of the Gray-Scott model in $Ω\subset \mathbb{R}^n$, $n \ge 1$, with a mixture of both local and nonlocal diffusion operators. We use semigroup theory with duality arguments to establish the global existence and boundedness of solutions of our model.

Generating Function of Single Centered Black Hole Index from the Igusa Cusp Form
Ajit Bhand, Ashoke Sen, Ranveer Kumar Singh
https://arxiv.org/abs/2510.05219 https://

Generating Function of Single Centered Black Hole Index from the Igusa Cusp Form
We introduce manifestly duality invariant generating function of the index of single centered black holes in the heterotic string theory compactified on a six dimensional torus. This function is obtained by subtracting, from the inverse of the Igusa cusp form, the generating function of the index of two centered black holes constructed from the Dedekind eta function. We also study the analytic properties of this function in the Siegel upper half plane.

Perturbative QCD below charm threshold: theory and tensions with $e^ e^-$ data
Diogo Boito, Marcelle Caram
https://arxiv.org/abs/2509.12956 https://arxiv.o…

Perturbative QCD below charm threshold: theory and tensions with $e^+e^-$ data
In this paper we carefully assess the theory prediction for $R(s)$ below charm threshold, $R_{uds}$, and address tensions with the existing data, notably with the 2021 BES-III results. We analyze the uncertainty of the perturbative QCD description in the light of renormalons making use of the large-$β_0$ limit and the renormalon-free gluon-condensate scheme. We provide a reliable estimate of the duality violation contributions; we show they are sizable up to $2.5$~GeV and improve the agreement…

Duality symmetries and phase space quantum theory
Thomas Curtright, Peter West
https://arxiv.org/abs/2509.13872 https://arxiv.org/pdf/2509.13872

Duality symmetries and phase space quantum theory
We argue that duality symmetries can be manifestly realised when theories with these symmetries are quantised using phase space quantum theory. In particular, using background fields and phase space quantum theory, we quantise the bosonic string and show that it has SO(26,26) symmetry, even when the string is not compactified on a torus.

Topological Vector Spaces
Pierre Colmez, Wies{\l}awa Nizio{\l}
https://arxiv.org/abs/2509.25981 https://arxiv.org/pdf/2509.25981

Topological Vector Spaces
Motivated by applications to duality theorems for $p$-adic pro-étale cohomology of rigid analytic spaces, we study the category of Topological Vector Spaces in the setting of condensed mathematics. We prove that it contains, as full subcategories, both the category of (topologically) bounded algebraic Vector Spaces and the category of perfect complexes on the Fargues-Fontaine curve. Vector Spaces coming from $p$-adic pro-étale cohomology of smooth partially proper rigid analytic varieties are…

Geometry-induced criticality in $p$-adic scaling limits of random walks
Rahul Rajkumar, David Weisbart
https://arxiv.org/abs/2509.24234 https://arxiv.org/p…

Geometry-induced criticality in $p$-adic scaling limits of random walks
An anisotropy parameter $h$ in $(0,1]$ induces on $\mathbb{Q}_p^2$ a duality-compatible, two-scale filtration that collapses to one scale at the right endpoint. This filtration defines shell-uniform transition laws for hierarchical random walks on a discrete group whose scaling limits are Lévy processes on $\mathbb{Q}_p^2$. The diffusion constants of the coordinate processes jump at the right endpoint, even though the radial jump law depends continuously on $h$. This instance of geometry-induc…

Electromagnetic instability of vacuum with instantons in the holographic plasma
Shao-cheng Hou, Si-wen Li
https://arxiv.org/abs/2510.04348 https://arxiv.or…

Electromagnetic instability of vacuum with instantons in the holographic plasma
Using the gauge-gravity duality, we study the electromagnetic instability of vacuum with instantons in holographic plasma. The model we employ is the D(-1)-D3 brane system in which the D(-1)-branes correspond to the instantons in holography. To take into account the flavored quarks, the coincident probe D7-branes as flavors are embedded into the bulk geometry so that the effective electromagnetic Lagrangian with flavors corresponds to the action of the D7-branes according to gauge-gravity duali…

Holographic description of 4d Maxwell theories and their code-based ensembles
Ahmed Barbar, Anatoly Dymarsky, Alfred Shapere
https://arxiv.org/abs/2510.03392 https://

Holographic description of 4d Maxwell theories and their code-based ensembles
We formulate a precise holographic duality between an ensemble of 4d $U(1)^g$ Maxwell theories living on a spin four-manifold $M_4$ and an Abelian BF-type 2-form gauge theory of level $N$, summed over all five-manifolds with boundary $M_4$. The elements of the boundary ensemble are Abelian gauge theories specified by self-dual symplectic codes over $Z_N$, that parameterize topological boundary conditions in the 5d TQFT. Similarly, the equivalence classes of topologies distinguished by the 5d th…

Where Non-Invertible Symmetries End: Twist Defects for Electromagnetic Duality
Shu-Heng Shao, Siwei Zhong
https://arxiv.org/abs/2509.21279 https://arxiv.or…

Where Non-Invertible Symmetries End: Twist Defects for Electromagnetic Duality
We study novel conformal twist defects in 4d Maxwell theory, around which electric and magnetic fields are exchanged. These are codimension-2 defects living at the end of topological defects for certain non-invertible global symmetries. We determine the operator spectrum of the twist defect by solving classical electromagnetic wave equations subject to a twisted boundary condition. Using techniques from defect CFT, we show that correlation functions of these defect operators factorize into two …

Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
Zhanqiang Bai, Fan Gao, Yutong Wang, Xun Xie
https://arxiv.org/abs/2509.24346

Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
In this paper, we give an efficient algorithm to compute the Gelfand-Kirillov dimensions of simple highest weight modules of exceptional Lie algebras. By using the Sommers-Achar duality, we also determine the annihilator varieties of these highest weight modules.

Higher-Spin Poisson Sigma Models and Holographic Duality for SYK Models
Xavier Bekaert, Alexey Sharapov, Evgeny Skvortsov
https://arxiv.org/abs/2509.19964 https://

Higher-Spin Poisson Sigma Models and Holographic Duality for SYK Models
SYK models provide an interesting playground for exploring the $AdS_2/CFT_1$ correspondence. We focus on a class of SYK models that exhibit higher-spin symmetry, whose gravity sector is described by a BF theory generalizing Jackiw--Teitelboim gravity to higher spins. We further develop this framework by constructing consistent interactions between higher-spin gauge fields and scalar matter fields. Two concrete realizations are proposed: Model A, arising from a deformation of the universal envel…

Non-renormalisation of coupling constants from categorical symmetries in two dimensions
Guillermo Arias-Tamargo, Chris Hull, Maxwell L. Vel\'asquez Cotini Hutt
https://arxiv.org/abs/2509.20441

Non-renormalisation of coupling constants from categorical symmetries in two dimensions
We study the role of categorical symmetries in constraining the renormalisation of couplings in two-dimensional non-linear sigma models with Wess-Zumino term. A large class of these theories admit self-duality symmetries associated with discrete gauging and T-duality. They are generically non-conformal, but we argue that a particular coupling is protected from quantum corrections by the categorical symmetry. We give strong evidence for this claim by showing that the $β$-function for this coupl…

Infinite-Dimensional Towers and a Categorification of Differential Operators on $\mathbb{A}^1_{\mathbb{Z}[v,v^{- 1}]}$
Chun-Ju Lai, Cailan Li
https://arxiv.org/abs/2509.20053 ht…

Infinite-Dimensional Towers and a Categorification of Differential Operators on $\mathbb{A}^1_{\mathbb{Z}[v,v^{- 1}]}$
We introduce axioms for towers of infinite-dimensional algebras such that the corresponding Grothendieck groups of projective and finite-dimensional modules are Hopf dual to each other. This duality gives rise to an action of the Hesienberg double -- a generalization of the classical Hesienberg algebra -- on the Grothendieck group. We categorify this action and, as an application, construct a categorical realization of quantum differential operators on $\mathbb{A}^1_{\mathbb{Z}[v,v^{-1}]}$.

Holographic s p superconductors with axion induced translation symmetry breaking
Ru-Qing Chen, Hui Zeng, Zhang-Yu Nie, Xin Zhao
https://arxiv.org/abs/2510.01922 https://

Holographic s+p superconductors with axion induced translation symmetry breaking
We construct a holographic model for an s+p superconductor with axion-induced translation symmetry breaking within the framework of gauge/gravity duality, working in the probe limit. The equations of motion are solved numerically to investigate the influence of the parameter $k/T$ on the competition and coexistence between the s-wave and p-wave orders. We find that increasing $k/T$ suppresses the thermodynamic stability of both the single condensate s-wave and p-wave solutions. With the $k-μ$ …

Center of Kostant algebra
Tam\'as Hausel
https://arxiv.org/abs/2509.20159 https://arxiv.org/pdf/2509.20159

Center of Kostant algebra
In this note, following Muić-Savin, we compute the center of Kostant algebra, introduced by Kostant in 1975 as strongly commuting algebra. We explain how it encodes information on tensor products between a finite-dimensional and a Verma module, and about the structure of principal series representations via the work of Bernstein-Gelfand. We also discuss conjectured relationships to Langlands duality.

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[2/2]:
- Dark higher-form portals and duality
Cypris Plantier, Christopher Smith
https://…

Black Hole Entropy from String Entanglement
Soichiro Mori, Tadakatsu Sakai, Masaki Shigemori
https://arxiv.org/abs/2509.21796 https://arxiv.org/pdf/2509.21…

Black Hole Entropy from String Entanglement
We discuss the notion of string entanglement in string theory, which aims to study entanglement between worldsheet Hilbert spaces rather than entanglement between spacetime Hilbert spaces defined on a time slice in spacetime. Applying this framework to the FZZ duality and its extension to a three-dimensional black hole, we argue that the thermal entropy of 2d and 3d black holes is accounted for by the string entanglement entropy between folded strings arising in the dual sine-Liouville CFT. We …

On isomorphisms between quiver Yangians
Vishnu Jejjala, Dumisani Nxumalo, Konstantinos Zoubos
https://arxiv.org/abs/2509.19288 https://arxiv.org/pdf/2509.1…

A New Supersymmetry Index for Symmetric Orbifold CFTs
Marcel R. R. Hughes, Masaki Shigemori
https://arxiv.org/abs/2509.19425 https://arxiv.org/pdf/2509.194…

A New Supersymmetry Index for Symmetric Orbifold CFTs
We propose a new supersymmetry index for symmetric orbifold CFTs in the setup of the AdS$_3$/CFT$_2$ correspondence. In a novel formulation for symmetric orbifold CFTs based on the Schur-Weyl duality, we show how this index naturally emerges and its protection follows from the detailed nature of exactly marginal operators in these theories. This index is a one-parameter generalization of the standard index and gives more fine-grained information about the structure of microstates than previousl…

The Many Faces of Non-invertible Symmetries
Shadi Ali Ahmad, Marc S. Klinger, Yifan Wang
https://arxiv.org/abs/2509.18072 https://arxiv.org/pdf/2509.18072

The Many Faces of Non-invertible Symmetries
We investigate the interplay between algebraic and categorical notions of non-invertible symmetries. In particular, a fusion categorical symmetry $\mathcal{C}$ is shown to induce an algebraic symmetry encoded in a weak Hopf algebra $H$ which is Tannaka-Krein dual to $\mathcal{C}$ in the sense that $\mathcal{C} = \text{Rep}(H^*)$. The latter duality is not unique, and consequently the algebraic symmetry acts on an extended system relative to the categorical one. We present an approach to analyzi…

Hawking-Page transition in anti-de Sitter massive gravity with non-compact spatial boundary
Nelson R. F. Braga, William S. Cunha
https://arxiv.org/abs/2509.13454 https://…

Hawking-Page transition in anti-de Sitter massive gravity with non-compact spatial boundary
In gauge/gravity duality, the Hawking Page (HP) process plays the important role of representing a confined/deconfined phase transition. For spaces that are asymptotically anti-de Sitter (AdS) with planar spatial boundary there is no HP transition, unless some infrared energy scale is introduced. Massive gravity theories have been applied in the context of holography in order to represent systems with momentum dissipation. In this work we study the HP transition for massive gravity in an asympt…

On non-linear chiral 4-form theories in D=10
Jessica Hutomo, Kurt Lechner, Dmitri P. Sorokin
https://arxiv.org/abs/2509.14351 https://arxiv.org/pdf/2509.14…

On non-linear chiral 4-form theories in D=10
We consider properties of non-linear theories of a chiral 4-form gauge field $A_4$ in ten space-time dimensions with an emphasis on a subclass of these theories which are invariant under the $D = 10$ conformal symmetry. We show that general results regarding a peculiar structure of duality-invariant abelian gauge theories in four and six space-time dimensions do not extend to non-linear chiral 4-form theories in ten dimensions. This discrepancy arises primarily from the large number 81 of indep…

Towards a holographic description of closed universes
Hong Liu
https://arxiv.org/abs/2509.14327 https://arxiv.org/pdf/2509.14327

Towards a holographic description of closed universes
We study baby closed universes in AdS, focusing on the Antonini-Sasieta-Swingle (AS$^2$) cosmology, which arises in the gravitational description of partially entangled thermal states (PETS), as well as the classical example of Maldacena-Maoz (MM). We show that the algebraic formulation of AdS/CFT--and in particular the subregion-subalgebra duality--provides a natural framework for describing such universes within the standard AdS/CFT setting, phrased in terms of an operator algebra ${\cal M}$ …

Dissipation in Open Holography
Andreas Karch, Merna Youssef
https://arxiv.org/abs/2509.14312 https://arxiv.org/pdf/2509.14312

Dissipation in Open Holography
We exploit the holographic realization of a conformal theory coupled to an external bath realized via a double trace deformation and its gravity dual in terms of transparent boundary conditions in order to map out some basic dissipative properties of this simple open holographic system. In particular, we determine the energy transmission coefficient across the boundary, discover a novel duality relating weak and strong coupling to the external bath, and quantify the dissipation in the system by…

Trombone gaugings of five-dimensional maximal supergravity
Oscar Varela
https://arxiv.org/abs/2509.12391 https://arxiv.org/pdf/2509.12391

Trombone gaugings of five-dimensional maximal supergravity
The maximal gauged supergravities in five spacetime dimensions with gauge groups contained in $\mathbb{R}^+ \times \textrm{E}_{6(6)}$ are described. The $\textrm{E}_{6(6)}$ factor is the duality group of ungauged maximal supergravity and $\mathbb{R}^+$ is the scaling symmetry of the five-dimensional metric, usually called the \textit{trombone} symmetry. The equations of motion and supersymmetry variations for these supergravities are given to lowest order in fermions, and the mass matrices are …