Tootfinder

What is the topological dual of the XXZ spin Chain?
Yicheng Tang, Pradip Kattel, Natan Andrei
https://arxiv.org/abs/2507.22119 https://arxiv.org/pdf/2507.2…

What is the topological dual of the XXZ spin Chain?
We construct a dual symmetry-protected topological (SPT) Hamiltonian for the $U(1)$ symmetric anisotropic spin-$\frac{1}{2}$ Heisenberg chain-a model that has traditionally been used to study spontaneous symmetry breaking (SSB) in both ferromagnetic and antiferromagnetic phases, with an intervening extended Luttinger liquid phase. By performing a non-local unitary transformation, we explicitly construct a local fermionic Hamiltonian that exhibits two nontrivial topological phases separated by a…

Fairness under Equal-Sized Bundles: Impossibility Results and Approximation Guarantees
Alviona Mancho, Evangelos Markakis, Nicos Protopapas
https://arxiv.org/abs/2507.20899 http…

Fairness under Equal-Sized Bundles: Impossibility Results and Approximation Guarantees
We study the fair allocation of indivisible goods under cardinality constraints, where each agent must receive a bundle of fixed size. This models practical scenarios, such as assigning shifts or forming equally sized teams. Recently, variants of envy-freeness up to one/any item (EF1, EFX) were introduced for this setting, based on flips or exchanges of items. Namely, one can define envy-freeness up to one/any flip (EFF1, EFFX), meaning that an agent $i$ does not envy another agent $j$ after pe…

Feasibility of interferometric observations and characterization of planet-induced structures at sub au to au scales in protoplanetary disks
Lukas Hildebrandt, Anton Krieger, Hubert Klahr, Julia Kobus, Alexander Bensberg, Sebastian Wolf
https://arxiv.org/abs/2506.17024

Feasibility of interferometric observations and characterization of planet-induced structures at sub au to au scales in protoplanetary disks
Interferometric observations of protoplanetary disks by VLTI and ALMA have greatly improved our understanding of the detailed structure of these planetary birthplaces. These observations have revealed a variety of large-scale disk substructures, including rings, gaps, and spirals, spanning tens to hundreds of au, supporting the predictions of planet formation models. Recent instruments, such as MATISSE at the VLTI, allow one to resolve and investigate the inner few au of protoplanetary disks in…

Can LLMs Replace Humans During Code Chunking?
Christopher Glasz, Emily Escamilla, Eric O. Scott, Anand Patel, Jacob Zimmer, Colin Diggs, Michael Doyle, Scott Rosen, Nitin Naik, Justin F. Brunelle, Samruddhi Thaker, Parthav Poudel, Arun Sridharan, Amit Madan, Doug Wendt, William Macke, Thomas Schill
https://arxiv.org/abs/2506.198…

Can LLMs Replace Humans During Code Chunking?
Large language models (LLMs) have become essential tools in computer science, especially for tasks involving code understanding and generation. However, existing work does not address many of the unique challenges presented by code written for government applications. In particular, government enterprise software is often written in legacy languages like MUMPS or assembly language code (ALC) and the overall token lengths of these systems exceed the context window size for current commercially a…

Learning Bilateral Team Formation in Cooperative Multi-Agent Reinforcement Learning
Koorosh Moslemi, Chi-Guhn Lee
https://arxiv.org/abs/2506.20039 https://…

Learning Bilateral Team Formation in Cooperative Multi-Agent Reinforcement Learning
Team formation and the dynamics of team-based learning have drawn significant interest in the context of Multi-Agent Reinforcement Learning (MARL). However, existing studies primarily focus on unilateral groupings, predefined teams, or fixed-population settings, leaving the effects of algorithmic bilateral grouping choices in dynamic populations underexplored. To address this gap, we introduce a framework for learning two-sided team formation in dynamic multi-agent systems. Through this study, …

exoALMA. XVIII. Interpreting large scale kinematic structures as moderate warping
Andrew J. Winter, Myriam Benisty, Andr\'es F. Izquierdo, Giuseppe Lodato, Richard Teague, Carolin N. Kimmig, Sean M. Andrews, Jaehan Bae, Marcelo Barraza-Alfaro, Nicol\'as Cuello, Pietro Curone, Ian Czekala, Stefano Facchini, Daniele Fasano, Cassandra Hall, Caitlyn Hardiman, Thomas Hilder, John D. Ilee, Misato Fukagawa, Cristiano Longarini, Fran\c{c}ois M\'enard, Ryuta Orihara, Christophe Pint…

exoALMA. XVIII. Interpreting large scale kinematic structures as moderate warping
The exoALMA program gave an unprecedented view of the complex kinematics of protoplanetary disks, revealing diverse structures that remain poorly understood. We show that moderate disk warps ($\sim 0.5-2^\circ$) can naturally explain many of the observed large-scale velocity features with azimuthal wavenumber $m = 1$. Using a simple model, we interpret line-of-sight velocity variations as changes in the projected Keplerian rotation caused by warping of the disk. While not a unique explanation, …