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On deformation quantizations of symplectic supervarieties 辛超变的变形量子化
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-28 DOI: 10.1007/s11005-026-02144-x
Husileng Xiao
{"title":"On deformation quantizations of symplectic supervarieties","authors":"Husileng Xiao","doi":"10.1007/s11005-026-02144-x","DOIUrl":"10.1007/s11005-026-02144-x","url":null,"abstract":"<div><p>We classify deformation quantizations of the symplectic supervarieties that are smooth and admissible. This generalizes the corresponding result of Bezrukavnikov and Kaledin to the super case. We relate the equivalence classes of quantizations of supervarieties with that of their even reduced symplectic varieties. Finally, we prove that certain nilpotent orbits of basic Lie superalgebras are admissible and split, and classify their deformation quantizations.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148837997","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
Inner post-Lie algebras and inner post-groups 内后李代数与内后群
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-28 DOI: 10.1007/s11005-026-02141-0
Vsevolod Gubarev, Yue Li, Yunhe Sheng, You Wang
{"title":"Inner post-Lie algebras and inner post-groups","authors":"Vsevolod Gubarev,&nbsp;Yue Li,&nbsp;Yunhe Sheng,&nbsp;You Wang","doi":"10.1007/s11005-026-02141-0","DOIUrl":"10.1007/s11005-026-02141-0","url":null,"abstract":"<div><p>In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota–Baxter operator, and show that an inner post-Lie algebra is induced by a Rota–Baxter operator if and only if the obstruction class is trivial. Similarly, we introduce the notion of the obstruction class for an inner post-group being induced by a Rota–Baxter operator, and prove a parallel result. Finally, we give some applications of inner post-Lie algebras and inner post-groups.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838205","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
Optimizing entanglement manipulation via algebraic–geometric decompositions and semi-definite programming hierarchies 通过代数-几何分解和半确定规划层次优化纠缠操纵
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-28 DOI: 10.1007/s11005-026-02138-9
Seiseki Akibue, Jisho Miyazaki, Hiroyuki Osaka
{"title":"Optimizing entanglement manipulation via algebraic–geometric decompositions and semi-definite programming hierarchies","authors":"Seiseki Akibue,&nbsp;Jisho Miyazaki,&nbsp;Hiroyuki Osaka","doi":"10.1007/s11005-026-02138-9","DOIUrl":"10.1007/s11005-026-02138-9","url":null,"abstract":"<div><p>In the study of distributed quantum information processing, it is a fundamental problem to optimize local operations in the implementation of non-local quantum operations assisted by limited entanglement. We develop an algebraic–geometric framework that systematically simplifies optimization over separable (SEP) channels—widely used as approximations of local operations—and strengthens the Doherty–Parrilo–Spedalieri (DPS) hierarchy for solving such problems. We apply this framework to computing maximum success probability for exactly implementing a broad range of different non-local operations under SEP channels. First, we present a unified generalization of previous analytical results on the entanglement cost. Via the generalization, we resolve an open problem posed by Yu et al. regarding the entanglement cost of local state discrimination. Second, we numerically determine the trade-off between the strength of entanglement and the success probability of implementing various operations—such as entanglement distillation, non-local unitary channels, measurements, and state verification.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02138-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838207","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
Correction to: Pairs of eventually constant maps and nilpotent pairs 更正：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 : 2026-08-28 DOI: 10.1007/s11005-026-02127-y
Weixi Chen, Mee Seong Im, Mikhail Khovanov, Catherine Lillja, Nicolas Rugo
{"title":"Correction to: 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/s11005-026-02127-y","DOIUrl":"10.1007/s11005-026-02127-y","url":null,"abstract":"","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838204","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 Sugawara–Legendre mechanism for the four-point Heisenberg algebra 四点海森堡代数的Sugawara-Legendre机制
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-27 DOI: 10.1007/s11005-026-02145-w
Felipe Albino dos Santos
{"title":"A Sugawara–Legendre mechanism for the four-point Heisenberg algebra","authors":"Felipe Albino dos Santos","doi":"10.1007/s11005-026-02145-w","DOIUrl":"10.1007/s11005-026-02145-w","url":null,"abstract":"<div><p>This paper provides a representation-theoretic explanation for the recent discovery that families of orthogonal polynomials arise in the centres of universal central extensions of superelliptic affine Lie algebras. Working in the Verma modules of the Heisenberg subalgebra, we compute the canonical contravariant form in closed form on a distinguished family of weight vectors and show that this family is the Legendre family, forced by the curve itself. The classical squared norms follow by a rescaling available under a positivity condition on the central charge, and the module is irreducible exactly when that charge is nonzero. The main result identifies a Sugawara element carried, by an explicit intertwiner, to the classical Legendre differential operator. The results are proved for the genus-zero, four-point case.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02145-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148816376","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
Holographic is Hamiltonian, relatively 相对而言，全息是哈密顿的
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-27 DOI: 10.1007/s11005-026-02137-w
Piotr T. Chruściel, Raphaela Wutte
{"title":"Holographic is Hamiltonian, relatively","authors":"Piotr T. Chruściel,&nbsp;Raphaela Wutte","doi":"10.1007/s11005-026-02137-w","DOIUrl":"10.1007/s11005-026-02137-w","url":null,"abstract":"<div><p>We show that a relative holographic energy coincides with the relative Hamiltonian energy.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02137-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148816377","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
Unipotent quantum coordinate ring and minuscule prefundamental representations: twisted case 单幂量子坐标环和极小的前基本表示：扭曲情况
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-26 DOI: 10.1007/s11005-026-02134-z
IL-SEUNG JANG
{"title":"Unipotent quantum coordinate ring and minuscule prefundamental representations: twisted case","authors":"IL-SEUNG JANG","doi":"10.1007/s11005-026-02134-z","DOIUrl":"10.1007/s11005-026-02134-z","url":null,"abstract":"<div><p>We study the prefundamental modules <span>(L_{s,a}^{pm })</span> over the Borel subalgebras of the twisted quantum loop algebras, which are introduced by Wang. A character formula for <span>(L_{s,a}^{pm })</span> is obtained from that for the prefundamental modules over the untwisted quantum loop algebras by applying a character folding map. This allows us to realize minuscule prefundamental modules <span>(L_{s,a}^{pm })</span> for types <span>(A_{2n-1}^{(2)})</span> and <span>(D_{n+1}^{(2)})</span> in terms of the unipotent quantum coordinate ring associated with the <i>s</i>-th level 0 fundamental weight, where <span>(s = 1)</span> for type <span>(A_{2n-1}^{(2)})</span> and <span>(s = n)</span> for type <span>(D_{n+1}^{(2)})</span>. This result is a continuation of the realization of (co)minuscule prefundamental modules established by earlier works [32, 33].</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148837810","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
Spacelike solitons of the r-th mean curvature flow in pp-wave spacetimes 平均曲率为r的类空间孤子在pp波时空中流动
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-26 DOI: 10.1007/s11005-026-02143-y
Marco A. L. Velásquez, Henrique F. de Lima, José H. H. de Lacerda
{"title":"Spacelike solitons of the r-th mean curvature flow in pp-wave spacetimes","authors":"Marco A. L. Velásquez,&nbsp;Henrique F. de Lima,&nbsp;José H. H. de Lacerda","doi":"10.1007/s11005-026-02143-y","DOIUrl":"10.1007/s11005-026-02143-y","url":null,"abstract":"<div><p>Our aim in this paper is to investigate geometric conditions which guarantee the nonexistence of spacelike solitons of the <i>r</i>-th mean curvature flow (shortly, <i>r</i>-MCF) in a pp-wave spacetime, namely, a <span>((n+1))</span>-dimensional connected Lorentzian manifold admitting a parallel lightlike vector field, where <span>(nge 2)</span> and <span>(rin {1,ldots ,n})</span>. Our approach is based on three main analytical frameworks: a Liouville type result, a maximum principle for complete noncompact Riemannian manifolds with polynomial volume growth or satisfying a certain convergence at infinity, and a suitable version of the Omori-Yau maximum principle. Furthermore, we also exhibit nice nontrivial examples of spacelike solitons of the <i>r</i>-MCF in a pp-wave spacetime, showing that the main hypotheses that we assume in our nonexistence results are, indeed, necessary.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02143-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148837811","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
Asymptotics for eigenvalues of one-dimensional Dirac operators in the weak coupling limit 弱耦合极限下一维Dirac算子特征值的渐近性
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-25 DOI: 10.1007/s11005-026-02139-8
Danko Aldunate, Juan Manuel González-Brantes, Hanne Van Den Bosch
{"title":"Asymptotics for eigenvalues of one-dimensional Dirac operators in the weak coupling limit","authors":"Danko Aldunate,&nbsp;Juan Manuel González-Brantes,&nbsp;Hanne Van Den Bosch","doi":"10.1007/s11005-026-02139-8","DOIUrl":"10.1007/s11005-026-02139-8","url":null,"abstract":"<div><p>In this paper, we derive new results on the asymptotic behavior of eigenvalues of perturbed one-dimensional massive Dirac operators in the weak coupling limit. Two classes of potentials are considered. For bounded Hermitian potentials <i>V</i> satisfying <span>(|V(x)| lesssim |x|^{-1})</span> for large |<i>x</i>|, we recover the leading term, which may include a logarithmic correction if <span>(V(x) sim |x|^{-1})</span> at infinity. For possibly non-Hermitian <span>(L^1)</span> potentials satisfying a suitable moment condition, we obtain the second term in the asymptotic expansion. The first result is based on a min–max principle adapted to the nonrelativistic limit, while the second result is obtained via the Birman–Schwinger principle and resolvent expansions.\u0000\u0000\u0000\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148837511","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
Normal forms of elliptic automorphic Lie algebras and Landau–Lifshitz type of equations 椭圆自同构李代数的正规形式与Landau-Lifshitz型方程
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-08-24 DOI: 10.1007/s11005-026-02130-3
Sara Lombardo, Casper Oelen
{"title":"Normal forms of elliptic automorphic Lie algebras and Landau–Lifshitz type of equations","authors":"Sara Lombardo,&nbsp;Casper Oelen","doi":"10.1007/s11005-026-02130-3","DOIUrl":"10.1007/s11005-026-02130-3","url":null,"abstract":"<div><p>We present normal forms of elliptic automorphic Lie algebras with dihedral symmetry of order 4, which arise naturally in the context of Landau–Lifshitz type of equations. These normal forms provide a transparent description and allow a classification of such Lie algebras over <span>({mathbb {C}})</span>. Using this perspective, we show that a Lie algebra introduced by Uglov, as well as the hidden symmetry algebra of the Landau–Lifshitz equation introduced by Holod, can each be realised as an elliptic <span>(mathfrak {sl}(2,{mathbb {C}}))</span>-current algebra. Furthermore, we realise the Wahlquist–Estabrook algebra of the Landau–Lifshitz equation in terms of elliptic automorphic Lie algebras. This construction reveals that, as a complex Lie algebra, it is isomorphic to the direct sum of an <span>(mathfrak {sl}(2,{mathbb {C}}))</span>-current algebra and the two-dimensional abelian Lie algebra <span>({mathbb {C}}^2)</span>. Finally, we apply the automorphic Lie algebra framework to an <i>n</i>-component generalisation of the Landau–Lifshitz equation due to Golubchik and Sokolov in the case <span>(n=3)</span>.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02130-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148837715","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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