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(L_1(mathfrak {psl}_{n|n})) from BRST reductions, associated varieties and nilpotent orbits (L_1(mathfrak {psl}_{n|n})) 从BRST约简、相关变异和幂零轨道
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-15 DOI: 10.1007/s11005-026-02116-1
Andrea E. V. Ferrari, Aiden Suter
{"title":"(L_1(mathfrak {psl}_{n|n})) from BRST reductions, associated varieties and nilpotent orbits","authors":"Andrea E. V. Ferrari,&nbsp;Aiden Suter","doi":"10.1007/s11005-026-02116-1","DOIUrl":"10.1007/s11005-026-02116-1","url":null,"abstract":"<div><p>We verify a conjecture of [1] stating that certain physically motivated BRST reductions of beta-gamma systems and free fermions are isomorphic to <span>(L_1(mathfrak {psl}_{n|n}))</span>, the simple quotients of the affine vertex superalgebras associated to <span>(mathfrak {psl}_{n|n})</span> at level 1, and that the respective associated varieties are isomorphic as Poisson varieties to the minimal nilpotent orbit closures <span>(overline{mathbb {O}_{textrm{min}}(mathfrak {sl}_n)})</span>. This shows in particular that <span>(L_1(mathfrak {psl}_{n|n}))</span> is quasi-lisse. Combining this with other results in the literature (in particular [2]), this paper provides a concrete and interesting example of how one can extract two symplectic dual varieties from a vertex superalgebra.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466440","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
Longitudinal conductivity at integer quantum Hall transitions 整数量子霍尔跃迁的纵向电导率
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-15 DOI: 10.1007/s11005-026-02087-3
Giovanna Marcelli, Lorenzo Pigozzi, Marcello Porta
{"title":"Longitudinal conductivity at integer quantum Hall transitions","authors":"Giovanna Marcelli,&nbsp;Lorenzo Pigozzi,&nbsp;Marcello Porta","doi":"10.1007/s11005-026-02087-3","DOIUrl":"10.1007/s11005-026-02087-3","url":null,"abstract":"<div><p>We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transitions between quantum Hall phases. We consider the longitudinal conductivity, as given by Kubo formula, describing the variation of the current after introducing a space-homogeneous electric field, in an adiabatic way. We obtain an explicit expression for the longitudinal conductivity, completely determined by the number of conical intersections and by the shape of the cones. In particular, the formula reproduces the known quantized values found for graphene and for the critical Haldane model. Furthermore, we discuss the validity of Kubo formula in presence of conical intersections in the spectrum, starting from the time-dependent Schrödinger equation. For electric fields which are weak and slowly varying in space and in time, we prove the validity of linear response from quantum dynamics.\u0000\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465878","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
A formula for connected bosonic N-point functions for BKP hierarchy BKP层次的连通玻色子n点函数的一个公式
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-14 DOI: 10.1007/s11005-026-02097-1
Xuhui Zhang, Jian Zhou
{"title":"A formula for connected bosonic N-point functions for BKP hierarchy","authors":"Xuhui Zhang,&nbsp;Jian Zhou","doi":"10.1007/s11005-026-02097-1","DOIUrl":"10.1007/s11005-026-02097-1","url":null,"abstract":"<div><p>We present a formula for the connected <span>(n)</span>-point functions of a tau-function of the BKP hierarchy by embedding the BKP hierarchy into the KP hierarchy. This formula differs from that given by Wang and Yang [20]. We prove that these two formulae are equivalent.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465887","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
Equivariant mirror symmetry for footballs 足球的等变镜像对称
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-08 DOI: 10.1007/s11005-026-02111-6
Zhuoming Lan
{"title":"Equivariant mirror symmetry for footballs","authors":"Zhuoming Lan","doi":"10.1007/s11005-026-02111-6","DOIUrl":"10.1007/s11005-026-02111-6","url":null,"abstract":"<div><p>In this paper, we establish equivariant mirror symmetry for footballs <span>(mathcal {F}(m,r))</span>. This extends the results by Fang et al. [13], where the projective line was considered and the results by Tang of weighted projective lines, on arXiv:1712.04836. More precisely, we prove the equivalence of the <i>R</i>-matrices for A-model and B-model at large radius limit and establish isomorphism for <i>R</i>-matrices for general radius. We further demonstrate that the graph sum of higher genus cases is the same for both models, hence establishing equivariant mirror symmetry for footballs. In the last two sections the large radius limit and equivariant limit are considered, resulting in a generalized Bouchard–Mariño conjecture and Norbury–Scott conjecture, respectively.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465502","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
A Riemann–Hilbert correspondence for cohomology theories of closed 1-forms 闭1型上同调理论的Riemann-Hilbert对应
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-07 DOI: 10.1007/s11005-026-02115-2
Yota Shamoto
{"title":"A Riemann–Hilbert correspondence for cohomology theories of closed 1-forms","authors":"Yota Shamoto","doi":"10.1007/s11005-026-02115-2","DOIUrl":"10.1007/s11005-026-02115-2","url":null,"abstract":"<div><p>Motivated by the work of Kontsevich–Soibelman on the comparison of isomorphisms conjecture for closed algebraic 1-forms, we establish a Riemann–Hilbert correspondence of Deligne–Malgrange type. As an application, we prove a variant of the comparison of isomorphisms theorem for a simple class of algebraic 1-forms on complex curves.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465422","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
Pairs of eventually constant maps and nilpotent pairs 最终常数映射对和幂零对
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-04 DOI: 10.1007/s11005-026-02109-0
Weixi Chen, Mee Seong Im, Mikhail Khovanov, Catherine Lillja, Nicolas Rugo
{"title":"Pairs of eventually constant maps and nilpotent pairs","authors":"Weixi Chen,&nbsp;Mee Seong Im,&nbsp;Mikhail Khovanov,&nbsp;Catherine Lillja,&nbsp;Nicolas Rugo","doi":"10.1007/s11005-026-02109-0","DOIUrl":"10.1007/s11005-026-02109-0","url":null,"abstract":"<div><p>Tom Leinster gave a bijective correspondence between the set of operators on a finite-dimensional vector space <i>V</i> and the set of pairs consisting of a nilpotent operator and a vector in <i>V</i>. Over a finite field this bijection implies that the probability that an operator be nilpotent is the reciprocal of the number of vectors in <i>V</i>. We generalize this correspondence to pairs of operators in opposite directions between pairs of vector spaces and determine the probability that a random pair of operators be nilpotent. We also determine the set-theoretical counterpart of this construction and compute the number of eventually constant pairs of maps between two finite sets, closely related to the number of spanning trees in a complete bipartite graph.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380336","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: Factorization of multimeters: a unified view on nonclassical quantum phenomena 修正：万用表的因式分解：对非经典量子现象的统一看法
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-04 DOI: 10.1007/s11005-026-02101-8
Tim Achenbach, Andreas Bluhm, Leevi Lepp䪤rvi, Ion Nechita, Martin Plᶡla
{"title":"Correction: Factorization of multimeters: a unified view on nonclassical quantum phenomena","authors":"Tim Achenbach,&nbsp;Andreas Bluhm,&nbsp;Leevi Lepp䪤rvi,&nbsp;Ion Nechita,&nbsp;Martin Plᶡla","doi":"10.1007/s11005-026-02101-8","DOIUrl":"10.1007/s11005-026-02101-8","url":null,"abstract":"","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02101-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465454","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
Exceptional embeddings of (N=2) minimal models (N=2)最小模型的特殊嵌入
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-02 DOI: 10.1007/s11005-026-02108-1
Ana Ros Camacho, Thomas A. Wasserman
{"title":"Exceptional embeddings of (N=2) minimal models","authors":"Ana Ros Camacho,&nbsp;Thomas A. Wasserman","doi":"10.1007/s11005-026-02108-1","DOIUrl":"10.1007/s11005-026-02108-1","url":null,"abstract":"<div><p>Vafa and Warner observed that the Landau–Ginzburg model associated to the potential <span>(E_6)</span> (resp. <span>(E_8)</span>) is a product of two other models, associated to the potentials <span>(A_2)</span> and <span>( A_3)</span> (resp. <span>(A_2 )</span> and <span>( A_4)</span>). We translate this along the Landau–Ginzburg/conformal field theory correspondence to a conjecture about the unitary minimal quotients <span>(M_d)</span> of the <span>(N=2)</span> superconformal algebra of central charge <span>(c_d=3-frac{6}{d})</span>: there should be a conformal embedding <span>(M_{12}hookrightarrow M_{3} otimes M_4)</span> (resp. <span>(M_{30}hookrightarrow M_{3} otimes M_5)</span>) that exhibits the product as Ostrik’s <span>(E_6)</span> (resp. <span>(E_8)</span>) algebra in the <span>(textbf{Rep}(su(2)_{10}))</span> (resp. <span>(textbf{Rep}(su(2)_{28}))</span>) factor of the NS sector of <span>(textbf{Rep}(M_{12}))</span> (resp. <span>(textbf{Rep}(M_{30}))</span>). We motivate, formulate, and prove this conjecture.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02108-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148366005","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
Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators rujsenaars -van Diejen-Takemura作为理性Heun算子的汉密尔顿算子
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-07-02 DOI: 10.1007/s11005-026-02113-4
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
{"title":"Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators","authors":"Satoshi Tsujimoto,&nbsp;Luc Vinet,&nbsp;Alexei Zhedanov","doi":"10.1007/s11005-026-02113-4","DOIUrl":"10.1007/s11005-026-02113-4","url":null,"abstract":"<div><p>The most general Ruijsenaars-van Diejen-Takemura Hamiltonians are characterized as Heun operators defined as second-order <i>q</i>-difference operators with a raising action on elementary rational functions with poles on the Askey-Wilson grid.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148366030","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
Additional symmetries of the KP-mKP hierarchy and Virasoro constraints to the Burgers-KdV hierarchy KP-mKP层次结构的额外对称性和burger - kdv层次结构的Virasoro约束
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-27 DOI: 10.1007/s11005-026-02104-5
Zongyao Feng, Lumin Geng, Chao-Zhong Wu
{"title":"Additional symmetries of the KP-mKP hierarchy and Virasoro constraints to the Burgers-KdV hierarchy","authors":"Zongyao Feng,&nbsp;Lumin Geng,&nbsp;Chao-Zhong Wu","doi":"10.1007/s11005-026-02104-5","DOIUrl":"10.1007/s11005-026-02104-5","url":null,"abstract":"<div><p>A KP-mKP hierarchy was introduced recently via pseudo-differential operators containing two derivations. In this paper, for the KP-mKP hierarchy we derive a class of (differential) Fay identities and construct a series of additional symmetries. Moreover, the additional symmetries are represented as certain linear actions on the tau functions of the hierarchy, with the help of the Adler-Shiota-van Moerbeke formula. As an application, we reprove the Virasoro constraints to the tau functions of the Burgers-KdV hierarchy, and such results are generalized to its higher order extensions regarded as reductions of the KP-mKP hierarchy.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323781","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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