Communications in Mathematical Physics最新文献_第10页

Dubrovin-Zhang Type Loop Equations for Hodge Integrals with Target Varieties 具有目标变量的Hodge积分的Dubrovin-Zhang型环方程

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-02-05 DOI: 10.1007/s00220-025-05545-6

Xin Wang

引用次数: 0

Derived Representations of Quantum Character Varieties 量子特征变体的派生表示

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-20 DOI: 10.1007/s00220-025-05530-z

M. Faitg

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The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin’s Integrable System 三维混合BF拉格朗日1-形式：Hitchin可积系统的变分形式

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-15 DOI: 10.1007/s00220-025-05535-8

Vincent Caudrelier, Derek Harland, Anup Anand Singh, Benoît Vicedo

{"title":"The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin’s Integrable System","authors":"Vincent Caudrelier, Derek Harland, Anup Anand Singh, Benoît Vicedo","doi":"10.1007/s00220-025-05535-8","DOIUrl":"10.1007/s00220-025-05535-8","url":null,"abstract":"<div><p>We introduce the concept of gauged Lagrangian 1-forms, extending the notion of Lagrangian 1-forms to the setting of gauge theories. This general formalism is applied to a natural geometric Lagrangian 1-form on the cotangent bundle of the space of holomorphic structures on a smooth principal <i>G</i>-bundle <span>(mathcal {P})</span> over a compact Riemann surface <i>C</i> of arbitrary genus <i>g</i>, with or without marked points, in order to gauge the symmetry group of smooth bundle automorphisms of <span>(mathcal {P})</span>. The resulting construction yields a multiform version of the 3d mixed BF action with so-called type A and B defects, providing a variational formulation of Hitchin’s completely integrable system over <i>C</i>. By passing to holomorphic local trivialisations and going partially on-shell, we obtain a <i>unifying action</i> for a hierarchy of Lax equations describing the Hitchin system in terms of meromorphic Lax matrices. The cases of genus 0 and 1 with marked points are treated in greater detail, producing explicit Lagrangian 1-forms for the rational Gaudin hierarchy and the elliptic Gaudin hierarchy, respectively, with the elliptic spin Calogero–Moser hierarchy arising as a special subcase.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05535-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145983153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Wreath-Like Products of Groups and their von Neumann Algebras III: Embeddings 群的环状积及其von Neumann代数III：嵌入

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-15 DOI: 10.1007/s00220-025-05508-x

Ionuţ Chifan, Adrian Ioana, Denis Osin, Bin Sun

引用次数: 0

Asymptotic Stability of 3D Relativistic Collisionless Plasma States in Ambient Magnetic Fields with a Boundary 具有边界的环境磁场中三维相对论性无碰撞等离子体态的渐近稳定性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-15 DOI: 10.1007/s00220-025-05537-6

Jiaxin Jin, Chanwoo Kim

引用次数: 0

Energy Concentration in a Two-Dimensional Magnetic Skyrmion Model: Variational Analysis of Lattice and Continuum Theories 二维磁斯基米子模型中的能量集中：晶格和连续统理论的变分分析

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-14 DOI: 10.1007/s00220-025-05515-y

L. Briani, M. Cicalese, L. Kreutz

引用次数: 0

Thermodynamic Formalism for Non-uniform Systems with Controlled Specification and Entropy Expansiveness 具有受控规格和熵膨胀的非均匀系统的热力学形式

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-14 DOI: 10.1007/s00220-025-05538-5

Tianyu Wang, Weisheng Wu

{"title":"Thermodynamic Formalism for Non-uniform Systems with Controlled Specification and Entropy Expansiveness","authors":"Tianyu Wang, Weisheng Wu","doi":"10.1007/s00220-025-05538-5","DOIUrl":"10.1007/s00220-025-05538-5","url":null,"abstract":"<div><p>We study thermodynamic formalism of dynamical systems with non-uniform structure. Precisely, we obtain the uniqueness of equilibrium states for a family of non-uniformly expansive flows by generalizing Climenhaga-Thompson’s orbit decomposition criteria. In particular, such family includes entropy expansive flows. Meanwhile, the essential part of the decomposition is allowed to satisfy an even weaker version of specification, namely controlled specification, thus also extends the corresponding results in Pavlov, R. (On controlled specification and uniqueness of the equilibrium state in expansive systems. Nonlinearity <b>32</b>(7), 2441–2466 (2019)). Two applications of our abstract theorems are explored. Firstly, we introduce a notion of regularity condition called weak Walters condition, and study the uniqueness of measure of maximal entropy for a suspension flow with roof function satisfying such condition. Secondly, we investigate topologically transitive frame flows on rank one manifolds of nonpositive curvature, which is a group extension of nonuniformly hyperbolic flows. Under a bunched curvature condition and running a Gauss-Bonnet type of argument, we show the uniqueness of equilibrium states with respect to certain potentials.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982731","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

The Essential Self-adjointness of the Wave Operator on Radiative Spacetimes 辐射时空上波算子的本质自伴随性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-14 DOI: 10.1007/s00220-025-05532-x

Qiuye Jia, Mikhail Molodyk, Ethan Sussman

引用次数: 0

Ricci Curvature for Hydrodynamics on the Sphere 球上流体力学的里奇曲率

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-14 DOI: 10.1007/s00220-025-05533-w

Leandro Lichtenfelz, Klas Modin, Stephen C. Preston

{"title":"Ricci Curvature for Hydrodynamics on the Sphere","authors":"Leandro Lichtenfelz, Klas Modin, Stephen C. Preston","doi":"10.1007/s00220-025-05533-w","DOIUrl":"10.1007/s00220-025-05533-w","url":null,"abstract":"<div><p>The geometric description of incompressible hydrodynamics, as geodesic motion on the infinite-dimensional group of volume-preserving diffeomorphisms, enables notions of curvature in the study of fluids in order to study stability. Formulas for Ricci curvature are often simpler than those for sectional curvature, which typically takes both signs, but the drawback is that Ricci curvature is rarely well-defined in infinite-dimensional spaces. Here we suggest a definition of Ricci curvature in the case of two-dimensional hydrodynamics, based on the finite-dimensional Zeitlin models arising in quantization theory, which gives a natural tool for renormalization. We provide formulae for the finite-dimensional approximations and give strong numerical evidence that these converge in the infinite-dimensional limit, based in part on four new conjectured identities for Wigner 6<i>j</i> symbols. The suggested limiting expression for (average) Ricci curvature is surprisingly simple and demonstrates an average instability for high-frequency modes which helps explain long-term numerical observations of spherical hydrodynamics due to mixing.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05533-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Langevin Dynamics of Lattice Yang–Mills–Higgs and Applications 晶格Yang-Mills-Higgs的Langevin动力学及其应用

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-01-14 DOI: 10.1007/s00220-025-05528-7

Hao Shen, Rongchan Zhu, Xiangchan Zhu

{"title":"Langevin Dynamics of Lattice Yang–Mills–Higgs and Applications","authors":"Hao Shen, Rongchan Zhu, Xiangchan Zhu","doi":"10.1007/s00220-025-05528-7","DOIUrl":"10.1007/s00220-025-05528-7","url":null,"abstract":"<div><p>In this paper, we investigate the Langevin dynamics of various lattice formulations of the Yang–Mills–Higgs model, with an inverse Yang–Mills coupling <span>(beta )</span> and a Higgs parameter <span>(kappa )</span>. The Higgs component is either a bounded field taking values in a compact target space, or an unbounded field taking values in a vector space in which case the model also has a Higgs mass parameter <i>m</i>. We study the regime where <span>((beta ,kappa ))</span> are small in the first case or <span>((beta ,kappa /m))</span> are small in the second case. We prove the exponential ergodicity of the dynamics on the whole lattice via functional inequalities. We establish exponential decay of correlations for a broad class of observables, namely, the infinite volume measure exhibits a strictly positive mass gap. Moreover, when the target space of the Higgs field is compact, appropriately rescaled observables exhibit factorized correlations in the large <i>N</i> limit . These extend the earlier results (Shen et al. in Comm Math Phys 400(2):805–851, 2023) on pure lattice Yang–Mills to the case with a coupled Higgs field. Unlike pure lattice Yang–Mills where the field is always bounded, in the case where the coupled Higgs component is unbounded, the control of its behavior is much harder and requires new techniques. Our approach involves a disintegration argument and a delicate analysis of correlations to effectively control the unbounded Higgs component.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982954","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