Letters in Mathematical Physics最新文献

Classification of gradient Einstein-type Kähler manifolds with (alpha =0) 梯度爱因斯坦型Kähler流形的分类 (alpha =0)

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-30 DOI: 10.1007/s11005-025-01992-3

Shun Maeta

引用次数: 0

Direct sum structure of the super Virasoro algebra and a Fermion algebra arising from the quantum toroidal (mathfrak {gl}_2) 由量子环面产生的超Virasoro代数和费米子代数的直接和结构 (mathfrak {gl}_2)

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-30 DOI: 10.1007/s11005-025-01997-y

Yusuke Ohkubo

{"title":"Direct sum structure of the super Virasoro algebra and a Fermion algebra arising from the quantum toroidal (mathfrak {gl}_2)","authors":"Yusuke Ohkubo","doi":"10.1007/s11005-025-01997-y","DOIUrl":"10.1007/s11005-025-01997-y","url":null,"abstract":"<div>It is known that the q-deformed Virasoro algebra can be constructed from a certain representation of the quantum toroidal (mathfrak {gl}_1) algebra. In this paper, we apply the same construction to the quantum toroidal algebra of type (mathfrak {gl}_2) and study the properties of resulting generators (W_i(z)) ((i=1,2)). The algebra generated by (W_i(z)) can be regarded as a q-deformation of the direct sum (textsf{F} oplus textsf{SVir}), where (textsf{F}) denotes the free fermion algebra and (textsf{SVir}) stands for the (N=1) super Virasoro algebra, also referred to as the (N=1) superconformal algebra or the Neveu–Schwarz–Ramond algebra. Moreover, the generators (W_i(z)) admit two screening currents, and we show that their degeneration limits coincide with the screening currents of (textsf{SVir}). We also establish quadratic relations satisfied by (W_i(z)) and show that they generate a pair of commuting q-deformed Virasoro algebras, which degenerate into two nontrivial commuting Virasoro algebras included in (textsf{F} oplus textsf{SVir}).</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210825","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

Symmetries and Noether’s theorem for action-dependent multicontact field theories 动作相关多接触场理论的对称性与Noether定理

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-30 DOI: 10.1007/s11005-025-01995-0

Xavier Rivas, Narciso Román-Roy, Bartosz M. Zawora

引用次数: 0

Inverse scattering transform for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities under nonzero boundary conditions 非零边界条件下局部非线性与非局部非线性离焦非线性Schrödinger方程的逆散射变换

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-22 DOI: 10.1007/s11005-025-01993-2

Chuanxin Xu, Tao Xu, Min Li

{"title":"Inverse scattering transform for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities under nonzero boundary conditions","authors":"Chuanxin Xu, Tao Xu, Min Li","doi":"10.1007/s11005-025-01993-2","DOIUrl":"10.1007/s11005-025-01993-2","url":null,"abstract":"<div>Within the framework of the Riemann–Hilbert problem, the theory of inverse scattering transform is established for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities (which originates from the parity-symmetric reduction of the Manakov system) under nonzero boundary conditions. First, the adjoint Lax pair and auxiliary eigenfunctions are introduced for the direct scattering, and the analyticity, symmetries of eigenfunctions and scattering matrix are studied in detail. Then, the distribution of discrete eigenvalues is examined, and the asymptotic behaviors of the eigenfunctions and scattering coefficients are analyzed rigorously. Compared with the Manakov system, the reverse-space nonlocality introduces an additional symmetry, leading to stricter constraints on eigenfunctions, scattering coefficients and norming constants. Further, the Riemann–Hilbert problem is formulated for the inverse problem with the scattering coefficients admitting an arbitrary number of simple zeros. For the reflectionless case, the N-soliton solutions are presented in the determinant form. With N = 1, the dark and beating one-soliton solutions are obtained, which are, respectively, associated with a pair of discrete eigenvalues lying on and off the circle on the spectrum plane. Via the asymptotic analysis, the two-soliton solutions are found to admit the interactions between two dark solitons or two beating solitons, as well as the superpositions of two beating solitons or one beating soliton and one dark soliton.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145100808","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

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

{"title":"Defects and phases of higher rank abelian GLSMs","authors":"Ilka Brunner, Daniel Roggenkamp, Christian P. M. Schneider","doi":"10.1007/s11005-025-01989-y","DOIUrl":"10.1007/s11005-025-01989-y","url":null,"abstract":"<div>We construct defects describing the transition between different phases of gauged linear sigma models with higher rank abelian gauge groups, as well as defects embedding these phases into the GLSMs. Our construction refers entirely to the sector protected by B-type supersymmetry, decoupling the gauge sector. It relies on an abstract characterization of such transition defects and does not involve an actual perturbative analysis. It turns out that the choices that are required to characterize consistent transition defects match with the homotopy classes of paths between different phases. Our method applies to non-anomalous as well as anomalous GLSMs, and we illustrate both cases with examples. This includes the GLSM associated to the resolution of the (A_N) singularity and one describing the entire parameter space of (N=2) minimal models, in particular, the relevant flows between them. Via fusion with boundary conditions, the defects we construct yield functors describing the transport of D-branes on parameter space. We find that our results match with known results on D-brane transport.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01989-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

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