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The Jucys–Murphy basis and semisimplicity criteria for the q-Brauer algebra q-Brauer 代数的 Jucys-Murphy 基和半简性标准
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-12 DOI: 10.1007/s11005-024-01850-8
Hebing Rui, Mei Si, Linliang Song
{"title":"The Jucys–Murphy basis and semisimplicity criteria for the q-Brauer algebra","authors":"Hebing Rui,&nbsp;Mei Si,&nbsp;Linliang Song","doi":"10.1007/s11005-024-01850-8","DOIUrl":"10.1007/s11005-024-01850-8","url":null,"abstract":"<div><p>We construct the Jucys–Murphy elements and the Jucys–Murphy basis for the <i>q</i>-Brauer algebra in the sense of Mathas. We also give a necessary and sufficient condition for the <i>q</i>-Brauer algebra being (split) semisimple over an arbitrary field.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219494","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
Correction to: Ruminations on matrix convexity and the strong subadditivity of quantum entropy 更正：关于矩阵凸性和量子熵强次可加性的遐想
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-08 DOI: 10.1007/s11005-024-01849-1
Michael Aizenman, Giorgio Cipolloni
{"title":"Correction to: Ruminations on matrix convexity and the strong subadditivity of quantum entropy","authors":"Michael Aizenman,&nbsp;Giorgio Cipolloni","doi":"10.1007/s11005-024-01849-1","DOIUrl":"10.1007/s11005-024-01849-1","url":null,"abstract":"","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929431","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
Generalized double affine Hecke algebra for double torus 双环的广义双仿射赫克代数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-07 DOI: 10.1007/s11005-024-01848-2
Kazuhiro Hikami
{"title":"Generalized double affine Hecke algebra for double torus","authors":"Kazuhiro Hikami","doi":"10.1007/s11005-024-01848-2","DOIUrl":"10.1007/s11005-024-01848-2","url":null,"abstract":"<div><p>We propose a generalization of the double affine Hecke algebra of type-<span>(C^vee C_1)</span> at specific parameters by introducing a “Heegaard dual” of the Hecke operators. Shown is a relationship with the skein algebra on double torus. We give automorphisms of the algebra associated with the Dehn twists on the double torus.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01848-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141945476","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
A naturally appearing family of Cantorvals 一个自然出现的康托伐尔族
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-30 DOI: 10.1007/s11005-024-01847-3
Michael Baake, Anton Gorodetski, Jan Mazáč
{"title":"A naturally appearing family of Cantorvals","authors":"Michael Baake,&nbsp;Anton Gorodetski,&nbsp;Jan Mazáč","doi":"10.1007/s11005-024-01847-3","DOIUrl":"10.1007/s11005-024-01847-3","url":null,"abstract":"<div><p>The aim of this note is to show the existence of a large family of Cantorvals arising in the projection description of primitive two-letter substitutions. This provides a common and naturally occurring class of Cantorvals.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01847-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141865395","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
Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry 具有奇数时间反演对称性的拓扑绝缘体的绝对连续边谱
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-24 DOI: 10.1007/s11005-024-01846-4
Alex Bols, Christopher Cedzich
{"title":"Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry","authors":"Alex Bols,&nbsp;Christopher Cedzich","doi":"10.1007/s11005-024-01846-4","DOIUrl":"10.1007/s11005-024-01846-4","url":null,"abstract":"<div><p>We show that non-trivial two-dimensional topological insulators protected by an odd time-reversal symmetry have absolutely continuous edge spectrum. To accomplish this, we establish a time-reversal symmetric version of the Wold decomposition that singles out extended edge modes of the topological insulator.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01846-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141785908","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
Dark breathers on a snoidal wave background in the defocusing mKdV equation 散焦 mKdV 方程中鼻息波背景上的暗呼吸器
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-24 DOI: 10.1007/s11005-024-01844-6
Ana Mucalica, Dmitry E. Pelinovsky
{"title":"Dark breathers on a snoidal wave background in the defocusing mKdV equation","authors":"Ana Mucalica,&nbsp;Dmitry E. Pelinovsky","doi":"10.1007/s11005-024-01844-6","DOIUrl":"10.1007/s11005-024-01844-6","url":null,"abstract":"<div><p>We present a new exact solution to the defocusing modified Korteweg–de Vries equation to describe the interaction of a dark soliton and a traveling periodic wave. The solution (which we refer to as the dark breather) is obtained by using the Darboux transformation with the eigenfunctions of the Lax system expressed in terms of the Jacobi theta functions. Properties of elliptic functions including the quarter-period translations in the complex plane are applied to transform the solution to the simplest form. We explore the characteristic properties of these dark breathers and show that they propagate faster than the periodic wave (in the same direction) and attain maximal localization at a specific parameter value which is explicitly computed.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141786220","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 twists of massive SQCD, Part II 大质量 SQCD 的拓扑扭曲，第二部分
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-15 DOI: 10.1007/s11005-024-01829-5
Johannes Aspman, Elias Furrer, Jan Manschot
{"title":"Topological twists of massive SQCD, Part II","authors":"Johannes Aspman,&nbsp;Elias Furrer,&nbsp;Jan Manschot","doi":"10.1007/s11005-024-01829-5","DOIUrl":"10.1007/s11005-024-01829-5","url":null,"abstract":"<div><p>This is the second and final part of ‘Topological twists of massive SQCD’. Part I is available at Lett. Math. Phys. 114 (2024) 3, 62. In this second part, we evaluate the contribution of the Coulomb branch to topological path integrals for <span>(mathcal {N}=2)</span> supersymmetric QCD with <span>(N_fle 3)</span> massive hypermultiplets on compact four-manifolds. Our analysis includes the decoupling of hypermultiplets, the massless limit and the merging of mutually non-local singularities at the Argyres–Douglas points. We give explicit mass expansions for the four-manifolds <span>(mathbb {P}^2)</span> and <i>K</i>3. For <span>(mathbb {P}^2)</span>, we find that the correlation functions are polynomial as function of the masses, while infinite series and (potential) singularities occur for <i>K</i>3. The mass dependence corresponds mathematically to the integration of the equivariant Chern class of the matter bundle over the moduli space of <i>Q</i>-fixed equations. We demonstrate that the physical partition functions agree with mathematical results on Segre numbers of instanton moduli spaces.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01829-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141648534","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
Counting meromorphic differentials on ({mathbb {C}mathbb {P}}^1) 计算 $${mathbb {C}mathbb {P}}^1$ 上的微分函数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-13 DOI: 10.1007/s11005-024-01823-x
Alexandr Buryak, Paolo Rossi
{"title":"Counting meromorphic differentials on ({mathbb {C}mathbb {P}}^1)","authors":"Alexandr Buryak,&nbsp;Paolo Rossi","doi":"10.1007/s11005-024-01823-x","DOIUrl":"10.1007/s11005-024-01823-x","url":null,"abstract":"<div><p>We give explicit formulas for the number of meromorphic differentials on <span>(mathbb{C}mathbb{P}^1)</span> with two zeros and any number of residueless poles and for the number of meromorphic differentials on <span>(mathbb{C}mathbb{P}^1)</span> with one zero, two poles with unconstrained residue and any number of residueless poles, in terms of the orders of their zeros and poles. These are the only two finite families of differentials on <span>(mathbb{C}mathbb{P}^1)</span> with vanishing residue conditions at a subset of poles, up to the action of <span>(textrm{PGL}(2,mathbb {C}))</span>. The first family of numbers is related to triple Hurwitz numbers by simple integration and we show its connection with the representation theory of <span>(textrm{SL}_2(mathbb {C}))</span> and the equations of the dispersionless KP hierarchy. The second family has a very simple generating series, and we recover it through surprisingly involved computations using intersection theory of moduli spaces of curves and differentials.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01823-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141613229","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
Remarks on Cotton solitons 关于棉孤子的评论
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-09 DOI: 10.1007/s11005-024-01840-w
Rahul Poddar
{"title":"Remarks on Cotton solitons","authors":"Rahul Poddar","doi":"10.1007/s11005-024-01840-w","DOIUrl":"10.1007/s11005-024-01840-w","url":null,"abstract":"<div><p>In this note, we show that the potential vector field of a Cotton soliton (<i>M</i>, <i>g</i>, <i>V</i>) is an infinitesimal harmonic transformation, and we use it to give another proof of the triviality of compact Cotton solitons. Moreover, we extend this triviality result to the complete case by imposing certain regularity conditions on the potential vector field <i>V</i>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141570221","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
Examples of cosmological spacetimes without CMC Cauchy surfaces 无 CMC 考奇曲面的宇宙时空范例
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-09 DOI: 10.1007/s11005-024-01843-7
Eric Ling, Argam Ohanyan
{"title":"Examples of cosmological spacetimes without CMC Cauchy surfaces","authors":"Eric Ling,&nbsp;Argam Ohanyan","doi":"10.1007/s11005-024-01843-7","DOIUrl":"10.1007/s11005-024-01843-7","url":null,"abstract":"<div><p>CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity as finding solutions to the vacuum Einstein constraint equations is made much simpler by assuming CMC initial data. However, Bartnik (Commun Math Phys 117(4):615–624, 1988) constructed a cosmological spacetime without a CMC Cauchy surface whose spatial topology is the connected sum of two three-dimensional tori. Similarly, Chruściel et al. (Commun Math Phys 257(1):29–42, 2005) constructed a vacuum cosmological spacetime without CMC Cauchy surfaces whose spatial topology is also the connected sum of two tori. In this article, we enlarge the known number of spatial topologies for cosmological spacetimes without CMC Cauchy surfaces by generalizing Bartnik’s construction. Specifically, we show that there are cosmological spacetimes without CMC Cauchy surfaces whose spatial topologies are the connected sum of any compact Euclidean or hyperbolic three-manifold with any another compact Euclidean or hyperbolic three-manifold. Analogous examples in higher spacetime dimensions are also possible. We work with the Tolman–Bondi class of metrics and prove gluing results for variable marginal conditions, which allows for smooth gluing of Schwarzschild to FLRW models.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01843-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141570220","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
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