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Combinatorics of the Berezin–Karpelevich integral Berezin-Karpelevich积分的组合学
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-05-14 DOI: 10.1007/s11005-025-01939-8
Jonathan Novak
{"title":"Combinatorics of the Berezin–Karpelevich integral","authors":"Jonathan Novak","doi":"10.1007/s11005-025-01939-8","DOIUrl":"10.1007/s11005-025-01939-8","url":null,"abstract":"<div><p>The Berezin–Karpelevich integral is a double integral over unitary matrices which plays the role of the Itzykson–Zuber integral in rectangular matrix models. We obtain a topological expansion of the Berezin–Karpelevich integral in terms of monotone Hurwitz numbers and obtain from this certain combinatorial identities.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01939-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949656","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
Generalized classical Yang-Baxter equation and regular decompositions
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-05-13 DOI: 10.1007/s11005-025-01930-3
R. Abedin, S. Maximov, A. Stolin
{"title":"Generalized classical Yang-Baxter equation and regular decompositions","authors":"R. Abedin,&nbsp;S. Maximov,&nbsp;A. Stolin","doi":"10.1007/s11005-025-01930-3","DOIUrl":"10.1007/s11005-025-01930-3","url":null,"abstract":"<div><p>The focus of the paper is on constructing new solutions of the generalized classical Yang-Baxter equation (GCYBE) that are not skew-symmetric. Using regular decompositions of finite-dimensional simple Lie algebras, we construct Lie algebra decompositions of <span>(mathfrak {g}(!(x)!) times mathfrak {g}[x]/x^m mathfrak {g}[x])</span>. The latter decompositions are in bijection with the solutions to the GCYBE. Under appropriate regularity conditions, we obtain a partial classification of such solutions. The paper is concluded with the presentations of the Gaudin-type models associated to these solutions.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01930-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944181","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
Interval spectrum for electric quantum walk and related skew-shift CMV matrices 电量子行走的间隔谱和相关的斜移CMV矩阵
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-05-07 DOI: 10.1007/s11005-025-01934-z
Fan Yang
{"title":"Interval spectrum for electric quantum walk and related skew-shift CMV matrices","authors":"Fan Yang","doi":"10.1007/s11005-025-01934-z","DOIUrl":"10.1007/s11005-025-01934-z","url":null,"abstract":"<div><p>We show that for a family of quantum walk models with electric fields, the spectrum is the unit circle for any irrational field. The result also holds for the associated CMV matrices defined by skew-shifts, as well as a family of the Blattner and Browne model. Generalizations to CMV matrices with skew-shifts on higher dimensional torus are also obtained.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01934-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913876","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
Capped vertex functions for ({text {Hilb}}^n(mathbb {C}^2)) 的顶点函数 ({text {Hilb}}^n(mathbb {C}^2))
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-05-06 DOI: 10.1007/s11005-025-01933-0
Jeffrey Ayers, Andrey Smirnov
{"title":"Capped vertex functions for ({text {Hilb}}^n(mathbb {C}^2))","authors":"Jeffrey Ayers,&nbsp;Andrey Smirnov","doi":"10.1007/s11005-025-01933-0","DOIUrl":"10.1007/s11005-025-01933-0","url":null,"abstract":"<div><p>We obtain explicit formulas for the <i>K</i>-theoretic capped descendent vertex functions of <span>({text {Hilb}}^n(mathbb {C}^2))</span> for descendents given by the exterior algebra of the tautological bundle. This formula provides a one-parametric deformation of the generating function for normalized Macdonald polynomials. In particular, we show that the capped vertex functions are rational functions of the quantum parameter.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908873","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
New partial trace inequalities and distillability of Werner states 新的部分迹不等式和Werner态的可蒸馏性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-05-04 DOI: 10.1007/s11005-025-01935-y
Pablo Costa Rico
{"title":"New partial trace inequalities and distillability of Werner states","authors":"Pablo Costa Rico","doi":"10.1007/s11005-025-01935-y","DOIUrl":"10.1007/s11005-025-01935-y","url":null,"abstract":"<div><p>One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable [1]. This problem has been open for almost 30 years, and still no one has been able to give a complete answer to it. This work presents a new strategy to try to solve this problem by translating the distillability condition on the family of Werner states into a problem of partial trace inequalities, this is the aim of our first main result. As a consequence, we obtain a new bound for the 2-distillability of Werner states, which does not depend on the dimension of the system. On the other hand, our second main result provides new partial trace inequalities for bipartite systems, connecting some of them also with the separability of Werner states. Throughout this work, we also present numerous partial trace inequalities, which are valid for many families of matrices.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01935-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143902810","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
Compact gradient Einstein-type manifolds with boundary 具有边界的紧致梯度爱因斯坦型流形
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-28 DOI: 10.1007/s11005-025-01937-w
Allan George de Carvalho Freitas, José Nazareno Vieira Gomes
{"title":"Compact gradient Einstein-type manifolds with boundary","authors":"Allan George de Carvalho Freitas,&nbsp;José Nazareno Vieira Gomes","doi":"10.1007/s11005-025-01937-w","DOIUrl":"10.1007/s11005-025-01937-w","url":null,"abstract":"<div><p>We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundary. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879631","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
Dirac products and concurring Dirac structures 狄拉克产品和并发狄拉克结构
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-26 DOI: 10.1007/s11005-025-01936-x
Pedro Frejlich, David Martínez Torres
{"title":"Dirac products and concurring Dirac structures","authors":"Pedro Frejlich,&nbsp;David Martínez Torres","doi":"10.1007/s11005-025-01936-x","DOIUrl":"10.1007/s11005-025-01936-x","url":null,"abstract":"<div><p>We discuss in this note two dual canonical operations on Dirac structures <i>L</i> and <i>R</i>—the <i>tangent product</i> <span>(L star R)</span> and the <i>cotangent product</i> <span>(L circledast R)</span>. Our first result gives an explicit description of the leaves of <span>(L star R)</span> in terms of those of <i>L</i> and <i>R</i>, surprisingly ruling out the pathologies which plague general “induced Dirac structures.” In contrast to the tangent product, the more novel cotangent product <span>(L circledast R)</span> need not be Dirac even if smooth. When it is, we say that <i>L</i> and <i>R</i> <i>concur</i>. Concurrence captures commuting Poison structures and refines the <i>Dirac pairs</i> of Dorfman and Kosmann–Schwarzbach, and it is our proposal as the natural notion of “compatibility” between Dirac structures. The rest of the paper is devoted to illustrating the usefulness of tangent- and cotangent products in general, and the notion of concurrence in particular. Dirac products clarify old constructions in Poisson geometry, characterize Dirac structures which can be pushed forward by a smooth map, and mandate a version of a local normal form. Magri and Morosi’s <span>(POmega )</span>-condition and Vaisman’s notion of two-forms complementary to a Poisson structures are found to be instances of concurrence, as is the setting for the Frobenius–Nirenberg theorem. We conclude the paper with an interpretation in the style of Magri and Morosi of generalized complex structures which concur with their conjugates.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143875455","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
The linearized Israel–Stewart equations with a physical vacuum boundary 具有物理真空边界的线性化Israel-Stewart方程
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-25 DOI: 10.1007/s11005-025-01931-2
Runzhang Zhong
{"title":"The linearized Israel–Stewart equations with a physical vacuum boundary","authors":"Runzhang Zhong","doi":"10.1007/s11005-025-01931-2","DOIUrl":"10.1007/s11005-025-01931-2","url":null,"abstract":"<div><p>In this article, we consider the Israel–Stewart equations of relativistic viscous fluid dynamics with bulk viscosity. We investigate the evolution of the equations linearized about solutions that satisfy the physical vacuum boundary condition and establish local well-posedness of the corresponding Cauchy problem.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01931-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143875349","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
Orthosymplectic Yangians 正交扬琴
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-22 DOI: 10.1007/s11005-025-01926-z
Rouven Frassek, Alexander Tsymbaliuk
{"title":"Orthosymplectic Yangians","authors":"Rouven Frassek,&nbsp;Alexander Tsymbaliuk","doi":"10.1007/s11005-025-01926-z","DOIUrl":"10.1007/s11005-025-01926-z","url":null,"abstract":"<div><p>We study the RTT orthosymplectic super Yangians and present their Drinfeld realizations for any parity sequence, generalizing the results of Jing et al. (Commun Math Phys 361(3):827–872, 2018) for non-super case, Molev (Algebras Representation Theory, 26, 2023) for a standard parity sequence, and Peng (Commun Math Phys 346(1):313–347, 2016), Tsymbaliuk (Lett Math Phys 110(8):2083–2111, 2020) for the super <i>A</i>-type.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143861255","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
On the capacity of surfaces in asymptotically flat half-space 渐近平坦半空间中曲面的容量
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s11005-025-01928-x
Daniel Silva
{"title":"On the capacity of surfaces in asymptotically flat half-space","authors":"Daniel Silva","doi":"10.1007/s11005-025-01928-x","DOIUrl":"10.1007/s11005-025-01928-x","url":null,"abstract":"<div><p>The purpose of this work is to establish an upper bound for the capacity of the surface in a three-dimensional asymptotically flat half-space with nonnegative scalar curvature and mean convex boundary. If the equality holds, we show a rigidity result involving the half-Schwarzschild space. In order to prove our result we use the inverse of mean curvature flow for hypersurfaces with boundary.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852583","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
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