Tootfinder

Supersymmetry-breaking compactifications on Riemann-flat manifolds
Gianguido Dall'Agata, Fabio Zwirner
https://arxiv.org/abs/2507.02339 https://…

Supersymmetry-breaking compactifications on Riemann-flat manifolds
We consider compactifications of higher-dimensional supergravities on Riemann-flat manifolds of dimension d ($3 \le d \le 7$) that fully break supersymmetry at the classical level on a resulting D-dimensional Minkowski space. We systematically discuss consistency conditions, the Kaluza-Klein (KK) spectrum and harmonics, and the resulting one-loop effective potential $V_1$, focusing for illustration on maximal supergravity and d=3, in particular on the $T^3/Z_3$ and on the Hantzsche-Wendt manifo…

Classification of spin$^c$ manifolds with generalized positive scalar curvature
Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg
https://arxiv.org/abs/2507.02090

Classification of spin$^c$ manifolds with generalized positive scalar curvature
Suppose $M$ is a closed $n$-dimensional spin$^c$ manifold with spin$^c$ structure $σ$ and associated spin$^c$ line bundle $L$. If one fixes a Riemannian metric $g$ on $M$ and a connection $\nabla_L$ on $L$, the generalized scalar curvature $R^{\text{gen}}$ of $(M,L)$ is $R_g - 2|Ω_L|_{\text{op}}$, where $|Ω_L|_{\text{op}}$ is the pointwise operator norm of the curvature $2$-form $Ω_L$ of $\nabla_L$, acting on spinors. In a previous paper, we showed that positivity of $R^…

Topology meets superconductivity in a one-dimensional $t-J$ model of magnetic atoms
Leonardo Bellinato Giacomelli, Thomas Bland, Louis Lafforgue, Francesca Ferlaino, Manfred J. Mark, Luca Barbiero
https://arxiv.org/abs/2509.03387

Topology meets superconductivity in a one-dimensional $t-J$ model of magnetic atoms
Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible setup based on ultracold magnetic lanthanide atoms trapped in a one-dimensional optical lattice. Leveraging their large magnetic moments, we design a fermionic $t-J$ model with independently tunable hopping, spin-spin couplings, and onsite interaction. Throu…

Asymptotic Stability of multi-solitons for $1$d Supercritical NLS
Gong Chen, Abdon Moutinho
https://arxiv.org/abs/2509.03637 https://arxiv.org/pdf/2509.036…

Asymptotic Stability of multi-solitons for $1$d Supercritical NLS
Consider the one-dimensional $L^2$ supercritical nonlinear Schrödinger equation \begin{equation} i\partial_{t}ψ+\partial^{2}_{x}ψ+\vert ψ\vert^{2k}ψ=0 \text{, $k>2$}. \end{equation} It is well known that solitary waves for this equation are unstable. In the pioneering work of Krieger and Schlag \cite{KriegerSchlag}, the asymptotic stability of a solitary wave was established on a codimension-one center-stable manifold. In the present paper, using linear estimates developed for one-dimensio…

Competing Dirac masses in one dimension: Symmetry-enhanced pseudo-first-order transition and deconfined criticality
Manuel Weber
https://arxiv.org/abs/2509.02705 https://…

Competing Dirac masses in one dimension: Symmetry-enhanced pseudo-first-order transition and deconfined criticality
Emergent symmetries and slow crossover phenomena are central themes in quantum criticality and manifest themselves in the pseudocritical scaling experienced in the context of deconfined criticality. Here we discover its conceptual counterpart, i.e., a symmetry-enhanced pseudo-first-order transition. It emerges from a one-dimensional realization of deconfined criticality between charge- and bond-ordered states driven by competing Holstein and Su-Schrieffer-Heeger electron-phonon couplings, for w…

Clubs in projective spaces and three-weight rank-metric codes
Jonathan Mannaert, Paolo Santonastaso, Ferdinando Zullo
https://arxiv.org/abs/2508.00502 https://

Clubs in projective spaces and three-weight rank-metric codes
Linear sets over finite fields are central objects in finite geometry and coding theory, with deep connections to structures such as semifields, blocking sets, KM-arcs, and rank-metric codes. Among them, $i$-clubs, a class of linear sets where all but one point (which has weight $i$) have weight one, have been extensively studied in the projective line but remain poorly understood in higher-dimensional projective spaces. In this paper, we investigate the geometry and algebraic structure of $i$-…

Quantum entanglement of Hawking-Partner modes in expanding cavities
Jos\'e Manuel Montes-Armenteros, Javier Olmedo
https://arxiv.org/abs/2508.00423 https://

Quantum entanglement of Hawking-Partner modes in expanding cavities
This article investigates quantum entanglement generated within a one-dimensional cavity where one boundary undergoes prescribed acceleration, a setup designed to mimic aspects of Hawking radiation. We quantify quantum correlations using logarithmic negativity for bipartitions where subsystem $A$ is a given mode and subsystem $B$ the rest of the system. For initial pure states, we also consider a given mode and reconstruct its partner using the Hotta-Schützhold-Unruh formula, obtaining identic…

Bricks and $\tau$-tilting theory under base field extensions
Erlend D. B{\o}rve, Eric J. Hanson, Maximilian Kaipel
https://arxiv.org/abs/2508.01040 https://

Bricks and $τ$-tilting theory under base field extensions
Let $K:k$ be a field extension and let $Λ$ be a finite-dimensional $k$-algebra. We investigate the relationship between $Λ$ and $Λ_K = Λ\otimes_k K$ with particular emphasis on various aspects of $τ$-tilting theory and bricks. We show that many types of objects for $Λ$ lift injectively to the same type of object for $Λ_K$, and many common constructions in $τ$-tilting theory commute with the process of extending the base field. One of our main applications is the construction of a faithf…

An M-theory dS maximum from Casimir energies on Riemann-flat manifolds
Bruno Valeixo Bento, Miguel Montero
https://arxiv.org/abs/2507.02037 https://…

An M-theory dS maximum from Casimir energies on Riemann-flat manifolds
We initiate the study of flux compactifications on non-supersymmetric Riemann-flat manifolds (RFM's) with Casimir energy. While curvature and other corrections are suppressed in RFM's, the inclusion of Casimir energies allows one to evade standard dS no-go theorems, and the absence of orientifolds or other singular sources means that the construction is completely captured by ten or eleven-dimensional supergravity. We obtain a fully explicit formula for the Casimir stress-energy in a general RF…

On stable solutions to the Allen-Cahn equation with bounded energy density in $\mathbb{R}^4$
Enric Florit-Simon, Joaquim Serra
https://arxiv.org/abs/2509.02739 https://

On stable solutions to the Allen-Cahn equation with bounded energy density in $\mathbb{R}^4$
We show that stable solutions $u:\mathbb{R}^4\to (-1,1)$ to the Allen-Cahn equation with bounded energy density (or equivalently, with cubic energy growth) are one-dimensional. This is known to entail important geometric consequences, such as robust curvature estimates for stable phase transitions, and the multiplicity one and Morse index conjectures of Marques-Neves for Allen-Cahn approximations of minimal hypersurfaces in closed 4-manifolds.