Letters in Mathematical Physics最新文献_第10页

Topological phases of non-interacting systems: a general approach based on states 非相互作用系统的拓扑阶段：基于状态的一般方法

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-19 DOI: 10.1007/s11005-025-01994-1

Giuseppe De Nittis

引用次数: 0

Q-functions for lambda opers lambda的q函数

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-17 DOI: 10.1007/s11005-025-01988-z

Davide Masoero, Evgeny Mukhin, Andrea Raimondo

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Defects and phases of higher rank abelian GLSMs 高阶阿贝尔glsm的缺陷和相位

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-12 DOI: 10.1007/s11005-025-01989-y

Ilka Brunner, Daniel Roggenkamp, Christian P. M. Schneider

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引用次数: 0

Categorical pentagon relations and Koszul duality 绝对五边形关系与科祖尔对偶

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-10 DOI: 10.1007/s11005-025-01932-1

Davide Gaiotto, Ahsan Khan

{"title":"Categorical pentagon relations and Koszul duality","authors":"Davide Gaiotto, Ahsan Khan","doi":"10.1007/s11005-025-01932-1","DOIUrl":"10.1007/s11005-025-01932-1","url":null,"abstract":"<div>The Kontsevich–Soibelman wall-crossing formula is known to control the jumping behaviour of BPS state-counting indices in four-dimensional theories with (mathcal {N}=2) supersymmetry. The formula can take two equivalent forms: a “fermionic” form with nice positivity properties and a “bosonic” form with a clear physical interpretation. In an important class of examples, the fermionic form of the formula has a mathematical categorification involving PBW bases for a Cohomological Hall Algebra. The bosonic form lacks an analogous categorification. We construct an equivalence of chain complexes, which categorifies the simplest example of the bosonic wall-crossing formula: the bosonic pentagon identity for the quantum dilogarithm. The chain complexes can be promoted to differential-graded algebras which we relate to the PBW bases of the relevant CoHA by a certain quadratic duality. The equivalence of complexes then follows from the relation between quadratic duality and Koszul duality. We argue that this is a special case of a general phenomenon: the bosonic wall-crossing formulae are categorified to equivalences of (A_infty ) algebras which are quadratic dual to PBW presentations of algebras which underlie the fermionic wall-crossing formulae. We give a partial interpretation of our differential-graded algebras in terms of a holomorphic-topological version of BPS webs.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145028242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Oscillator calculus on coadjoint orbits and index theorems 伴随轨道上的振子微积分和指数定理

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-10 DOI: 10.1007/s11005-025-01974-5

Dmitri Bykov, Viacheslav Krivorol, Andrew Kuzovchikov

引用次数: 0

The q-difference 2D Toda lattice, the q-difference sine-Gordon equation and classifications of solutions q差分二维Toda格，q差分正弦戈登方程及其解的分类

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-09 DOI: 10.1007/s11005-025-01990-5

Anhui Yan, Chunxia Li

{"title":"The q-difference 2D Toda lattice, the q-difference sine-Gordon equation and classifications of solutions","authors":"Anhui Yan, Chunxia Li","doi":"10.1007/s11005-025-01990-5","DOIUrl":"10.1007/s11005-025-01990-5","url":null,"abstract":"<div>In this paper, we have developed Cauchy matrix approach to construct the q-difference two-dimensional Toda lattice (q-2DTL) and q-difference sine-Gordon (q-sG) equation, and explore their integrability such as Lax pair and explicit solutions. By leveraging specific dispersion relations pertaining to r and s of the Sylvester equation (KM + ML = rs^top ), we establish the q-2DTL and derive its Lax pair. We also clarify the connection of the (tau ) function of the q-2DTL with Cauchy matrix approach. Besides, explicit solutions of the q-2DTL are formulated and classified by comprehensively investigating its underlying systems of linear q-difference equations. As typical examples, the dynamical behaviors of both soliton solutions and a double-pole solution are simulated numerically. Under the assumption (K = L), we demonstrate how to reduce the q-sG equation from the q-2DTL both by Cauchy matrix approach and by 2-periodic reductions. Besides, the bilinear representation for the q-sG equation is reported for the first time. Furthermore, rich solutions such as kink solutions and breathers are explicitly presented and graphically illustrated for the q-sG equation.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145021558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Mysterious triality and the exceptional symmetry of loop spaces 神秘的三重性和环空间的特殊对称性

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-09 DOI: 10.1007/s11005-025-01977-2

Hisham Sati, Alexander A. Voronov

{"title":"Mysterious triality and the exceptional symmetry of loop spaces","authors":"Hisham Sati, Alexander A. Voronov","doi":"10.1007/s11005-025-01977-2","DOIUrl":"10.1007/s11005-025-01977-2","url":null,"abstract":"<div>In previous work (Sati and Voronov in Commun Math Phys 400:1915–1960, 2023. https://doi.org/10.1007/s00220-023-04643-7, in Adv Theor Math Phys 28(8):2491–2601, 2024. https://doi.org/10.4310/atmp.241119034750), we introduced Mysterious Triality, extending the Mysterious Duality (Iqbal et al. in Adv Theor Math Phys 5:769–808, 2002. https://doi.org/10.4310/ATMP.2001.v5.n4.a5) between physics and algebraic geometry to include algebraic topology in the form of rational homotopy theory. Starting with the rational Sullivan minimal model of the 4-sphere (S^4), capturing the dynamics of M-theory via Hypothesis H, this progresses to the dimensional reduction of M-theory on torus (T^k), (k ge 1), with its dynamics described via the iterated cyclic loop space ({mathcal {L}}_c^k S^4) of the 4-sphere. From this, we also extracted data corresponding to the maximal torus/Cartan subalgebra and the Weyl group of the exceptional Lie group/algebra of type (E_k). In this paper, we discover much richer symmetry by extending the action of the Cartan subalgebra by symmetries of the equations of motion of ((11-k))d supergravity to a maximal parabolic subalgebra (mathfrak {p}_k^{k(k)}) of the Lie algebra (mathfrak {e}_{k(k)}) of the U-duality group. We do this by constructing the action on the rational homotopy model of the slightly more symmetric than ({mathcal {L}}_c^k S^4) toroidification ({mathcal {T}}^k S^4), which is another bookkeeping device for the equations of motion. To justify these results, we identify the minimal model of the toroidification ({mathcal {T}}^k S^4), generalizing the results of Vigué-Poirrier, Sullivan, and Burghelea, and establish an algebraic toroidification/totalization adjunction.\u0000</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145011964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Asymptotic analysis for rarefaction problem of the focusing nonlinear Schrödinger equation with discrete spectrum 离散谱聚焦非线性Schrödinger方程稀疏问题的渐近分析

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-06 DOI: 10.1007/s11005-025-01985-2

Deng-Shan Wang, Dinghao Zhu

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Parabolic presentations of the modular super Yangian (Y_{M|N}) for arbitrary (0^{M}1^{N})-sequences 任意(0^{M}1^{N}) -序列的模超Yangian (Y_{M|N})的抛物表示

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-05 DOI: 10.1007/s11005-025-01980-7

Hongmei Hu

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Affine super Yangians and non-rectangular W-superalgebras 仿射超杨子与非矩形w -超代数