Communications in Mathematical Physics最新文献_第5页

Decay of Solutions of Nonlinear Dirac Equations 非线性狄拉克方程解的衰减

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05597-2

Sebastian Herr, Christopher Maulén, Claudio Muñoz

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引用次数: 0

Stability of Force-Free Fields in Weak Ideal Limits of Leray–Hopf Solutions II: Nonlinear Force-Free Fields Leray-Hopf解弱理想极限下无力场的稳定性II：非线性无力场

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05613-5

Ken Abe

引用次数: 0

Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms 随机圆自同态向混沌过渡时的间歇两点动力学

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05565-w

V. P. H. Goverse, A. J. Homburg, J. S. W. Lamb

引用次数: 0

Twisted Quantum Affine Algebras and Equivariant (phi )-Coordinated Modules for Quantum Vertex Algebras 扭曲量子仿射代数和等变(phi ) -量子顶点代数的协调模

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05621-5

Naihuan Jing, Fei Kong, Haisheng Li, Shaobin Tan

引用次数: 0

2d Sinh-Gordon Model on the Infinite Cylinder 无限圆柱上的二维Sinh-Gordon模型

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05588-3

Colin Guillarmou, Trishen S. Gunaratnam, Vincent Vargas

引用次数: 0

Approximate Quantum 3-Colorings of Graphs and the Quantum Max 3-Cut Problem 图的近似量子3-着色和量子Max 3-切问题

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05585-6

Samuel J. Harris

{"title":"Approximate Quantum 3-Colorings of Graphs and the Quantum Max 3-Cut Problem","authors":"Samuel J. Harris","doi":"10.1007/s00220-026-05585-6","DOIUrl":"10.1007/s00220-026-05585-6","url":null,"abstract":"<div>We prove that, to each synchronous non-local game (mathcal {G}=(I,O,lambda )) with (|I|=n) and (|O|=m ge 3), there is an associated graph (G_{lambda }) for which approximate winning strategies for the game (mathcal {G}) and the 3-coloring game for (G_{lambda }) are preserved. That is, using a similar graph to previous work of the author (Ann Henri Poincaré, 2024), any synchronous strategy for (text {Hom}(G_{lambda },K_3)) that wins the game with probability (1-varepsilon ) with respect to the uniform probability distribution on the edges, yields a strategy in the same model that wins the game (mathcal {G}) with respect to the uniform distribution with probability at least (1-h(n,m)varepsilon ^{frac{1}{2}}), where h is a polynomial in n and (2^m). As an application, we prove that the gapped promise problem for quantum 3-coloring is undecidable, with doubly inverse exponential gap. Moreover, we show that the problem of determining whether a synchronous non-local game (mathcal {G}) has quantum value 1 or quantum value less than (1-varepsilon ), when promised that one of those occur, can be reduced to a related promise problem for the non-commutative Max-3-Cut of a graph |E|, giving a partial answer to a problem posed by Culf et al. (Approximation algorithms for noncommutative constraint satisfaction problems, 2014. arXiv:2312.16765), along with evidence for a sharp computability gap in the non-commutative Max-3-Cut problem. This also gives evidence that the non-commutative (respectively, commuting operator framework) Max-3-Cut of a graph is uncomputable. All of these results avoid use of the unique games conjecture.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 5","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147611956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Non-perturbative Isospectrality for Quasi-periodic Gasymov-Type Potentials 准周期gasymov型势的非微扰等谱性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05611-7

Jiawei He, Xueyin Wang, Zhenfu Wang

引用次数: 0

Parallel Surface Defects, Hecke Operators, and Quantum Hitchin System 平行表面缺陷、Hecke算子与量子Hitchin系统

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-01 DOI: 10.1007/s00220-026-05603-7

Saebyeok Jeong, Norton Lee, Nikita Nekrasov

{"title":"Parallel Surface Defects, Hecke Operators, and Quantum Hitchin System","authors":"Saebyeok Jeong, Norton Lee, Nikita Nekrasov","doi":"10.1007/s00220-026-05603-7","DOIUrl":"10.1007/s00220-026-05603-7","url":null,"abstract":"<div>We examine two types of half-BPS surface defects—regular monodromy surface defect and canonical surface defect—in four-dimensional gauge theory with (mathcal {N}=2) supersymmetry and (Omega _{varepsilon _1,{varepsilon }_2})-background. Mathematically, we investigate integrals over the moduli spaces of parabolic framed sheaves over (mathbb {P}^2). Using analytic methods of (mathcal {N}=2) theories, we demonstrate that the former gives a twisted (mathcal {D})-module on (text {Bun}_{G_{mathbb {C}}}) while the latter acts as a Hecke operator. In the limit ({varepsilon }_2 rightarrow 0), the cluster decomposition implies the Hecke eigensheaf property for the regular monodromy surface defect. The eigenvalues are given by the opers associated to the canonical surface defect. We derive, in our (mathcal {N}=2) gauge theoretical framework, that the twisted (mathcal {D})-modules assigned to the opers in the geometric Langlands correspondence represent the spectral equations for quantum Hitchin integrable system. A duality to topologically twisted four-dimensional (mathcal {N}=4) theory is discussed, in which the two surface defects are mapped to Dirichlet boundary and ’t Hooft line defect. This is consistent with earlier works on the (mathcal {N}=4) theory approach to the geometric Langlands correspondence.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Classification of Intrinsic Ergodicity for Recognisable Random Substitution Systems 可识别随机替换系统的内禀遍历性分类。

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-24 DOI: 10.1007/s00220-026-05602-8

P. Gohlke, A. Mitchell

引用次数: 0

Internal Waves in a 2D Subcritical Channel 二维亚临界通道中的内波

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-24 DOI: 10.1007/s00220-026-05591-8

Zhenhao Li, Jian Wang, Jared Wunsch

引用次数: 0