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Correction to: On the effect of derivative interactions in quantum field theory 修正：关于量子场论中导数相互作用的影响
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-06-26 DOI: 10.1007/s11005-025-01969-2
Karl-Henning Rehren
{"title":"Correction to: On the effect of derivative interactions in quantum field theory","authors":"Karl-Henning Rehren","doi":"10.1007/s11005-025-01969-2","DOIUrl":"10.1007/s11005-025-01969-2","url":null,"abstract":"","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01969-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170283","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
The zeta determinant of the reduced Lorentz group localized at a representation 约简洛伦兹群的行列式定域于一个表示
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-06-25 DOI: 10.1007/s11005-025-01959-4
M. Spreafico
{"title":"The zeta determinant of the reduced Lorentz group localized at a representation","authors":"M. Spreafico","doi":"10.1007/s11005-025-01959-4","DOIUrl":"10.1007/s11005-025-01959-4","url":null,"abstract":"<div><p>We introduce some spectral functions on the reduced Lorentz group and on its spinor group localized at an irreducible unitary representation, and we study their main analytic properties. More precisely, we consider the trace of the heat operator and the spectral zeta function of the Hodge Laplace operator on functions. We show that the localized zeta function has a regular analytic extension with simple poles, and we find a closed formula for the zeta determinant of the localized Hodge Laplace operator. We give a closed formula for the trace of the (global) heat operator and we study its expansion for small time.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168794","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 an orthogonal polynomial sequence and its recurrence coefficients: II 关于正交多项式序列及其递推系数：1
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-06-16 DOI: 10.1007/s11005-025-01963-8
D. Mbouna
{"title":"On an orthogonal polynomial sequence and its recurrence coefficients: II","authors":"D. Mbouna","doi":"10.1007/s11005-025-01963-8","DOIUrl":"10.1007/s11005-025-01963-8","url":null,"abstract":"<div><p>Following D. Mbouna [Lett. Math. Phys. 114:54, 2024], a new method is provided to recognize and characterize a classical orthogonal polynomial sequence defined on a quadratic lattice only by the three-term recurrence relation. This characterization includes all orthogonal polynomials in the Askey scheme (including the para-Krawtchouk polynomials), covering then all those defined on linear and constant lattices. This work suggests a simple and implementable algorithm/package for some known physical problems.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166350","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
Boundary symmetries of (2+1)D topological orders （2+1）D拓扑序的边界对称性
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-06-12 DOI: 10.1007/s11005-025-01953-w
Kylan Schatz
{"title":"Boundary symmetries of (2+1)D topological orders","authors":"Kylan Schatz","doi":"10.1007/s11005-025-01953-w","DOIUrl":"10.1007/s11005-025-01953-w","url":null,"abstract":"<div><p>For a <i>G</i>-crossed braided extension of a unitary modular tensor category <span>(mathcal {C})</span>—as in one representing a (2+1)D symmetry enriched topological order (SETO)—preservation of global on-site group symmetry after condensation by a commutative Q-system object <span>(A in mathcal {C})</span> necessitates the existence of a <i>G</i>-equivariant structure on <i>A</i>. When interpreted spatially, the condensation boundary has its own internal topological symmetries. We elaborate an algebraic framework for describing the internal topological symmetries of compatible (1+1)D gapped boundaries for (2+1)D topologically ordered systems in terms of <i>hypergroup actions</i>. Then, we investigate the coherence of global on-site bulk symmetries and boundary symmetries. We present a categorical obstruction to the preservation of symmetry in a way which is coherent in terms of lifts of categorical actions to a certain 2-group of bulk symmetries. We give a characterization of this obstruction in the case of condensation by a Lagrangian algebra and boundary symmetries given by subalgebras of the <i>convolution algebra</i> associated with a Lagrangian algebra object.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01953-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164964","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
Noncommutative complex structures for the full quantum flag manifold of (mathcal {O}_q(textrm{SU}_3)) 的全量子标志流形的非交换复结构 (mathcal {O}_q(textrm{SU}_3))
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-06-09 DOI: 10.1007/s11005-025-01955-8
Alessandro Carotenuto, Réamonn Ó Buachalla, Junaid Razzaq
{"title":"Noncommutative complex structures for the full quantum flag manifold of (mathcal {O}_q(textrm{SU}_3))","authors":"Alessandro Carotenuto,&nbsp;Réamonn Ó Buachalla,&nbsp;Junaid Razzaq","doi":"10.1007/s11005-025-01955-8","DOIUrl":"10.1007/s11005-025-01955-8","url":null,"abstract":"<div><p>In recent work, Lusztig’s positive root vectors (with respect to a distinguished choice of reduced decomposition of the longest element of the Weyl group) were shown to give a quantum tangent space for every <i>A</i>-series Drinfeld–Jimbo full quantum flag manifold <span>(mathcal {O}_q(textrm{F}_n))</span>. Moreover, the associated differential calculus <span>(Omega ^{(0,bullet )}_q(textrm{F}_n))</span> was shown to have classical dimension, giving a direct <i>q</i>-deformation of the classical anti-holomorphic Dolbeault complex of <span>(textrm{F}_n)</span>. Here, we examine in detail the rank two case, namely the full quantum flag manifold of <span>(mathcal {O}_q(textrm{SU}_3))</span>. In particular, we examine the <span>(*)</span>-differential calculus associated with <span>(Omega ^{(0,bullet )}_q(textrm{F}_3))</span> and its noncommutative complex geometry. We find that the number of almost-complex structures reduces from 8 (that is 2 to the power of the number of positive roots of <span>(mathfrak {sl}_3)</span>) to 4 (that is 2 to the power of the number of simple roots of <span>(mathfrak {sl}_3)</span>). Moreover, we show that each of these almost-complex structures is integrable, which is to say, each of them is a complex structure. Finally, we observe that, due to non-centrality of all the non-degenerate coinvariant 2-forms, none of these complex structures admits a left <span>(mathcal {O}_q(textrm{SU}_3))</span>-covariant noncommutative Kähler structure.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01955-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163507","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
Topological junctions for one-dimensional systems 一维系统的拓扑结
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-06-04 DOI: 10.1007/s11005-025-01954-9
David Gontier, Clément Tauber
{"title":"Topological junctions for one-dimensional systems","authors":"David Gontier,&nbsp;Clément Tauber","doi":"10.1007/s11005-025-01954-9","DOIUrl":"10.1007/s11005-025-01954-9","url":null,"abstract":"<div><p>We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we present a novel proof of the periodic table of topological insulators in one dimension. We show that edge modes necessarily arise at the junction of two materials having different topological indices. Our approach provides a systematic framework for understanding symmetry-protected modes in one dimension. It does not rely on periodic nor ergodicity and covers a wide range of operators which includes both continuous and discrete models.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162118","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
Ruijsenaars spectral transform rujsenaars谱变换
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-06-04 DOI: 10.1007/s11005-025-01957-6
N. Belousov, S. Khoroshkin
{"title":"Ruijsenaars spectral transform","authors":"N. Belousov,&nbsp;S. Khoroshkin","doi":"10.1007/s11005-025-01957-6","DOIUrl":"10.1007/s11005-025-01957-6","url":null,"abstract":"<div><p>Spectral decomposition with respect to the wave functions of Ruijsenaars hyperbolic system defines an integral transform, which generalizes classical Fourier integral. For a certain class of analytical symmetric functions we prove inversion formula and orthogonality relations, valid for complex valued parameters of the system. Besides, we study four regimes of unitarity, when this transform defines isomorphisms of the corresponding <span>(L_2)</span> spaces.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162119","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
Relative field theories via relative dualizability 通过相对二象性的相对场论
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-05-30 DOI: 10.1007/s11005-025-01948-7
Claudia Scheimbauer, Thomas Stempfhuber
{"title":"Relative field theories via relative dualizability","authors":"Claudia Scheimbauer,&nbsp;Thomas Stempfhuber","doi":"10.1007/s11005-025-01948-7","DOIUrl":"10.1007/s11005-025-01948-7","url":null,"abstract":"<div><p>We investigate relative versions of dualizability designed for relative versions of topological field theories (TFTs), also called twisted TFTs, or quiche TFTs in the context of symmetries. In even dimensions, we show an equivalence between lax and oplax fully extended framed relative topological field theories valued in an <span>((infty , N)text {-})</span> category in terms of adjunctibility. Motivated by this, we systematically investigate higher adjunctibility conditions and their implications for relative TFTs. Our analysis leads us to identify the oplax relative TFT as the notion of choice. Finally, for fun we explore a tree version of adjunctibility and compute the number of equivalence classes thereof.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01948-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171505","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
Dynamical localization for a random scattering zipper 随机散射拉链的动态定位
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-05-30 DOI: 10.1007/s11005-025-01952-x
Hakim Boumaza, Amine Khouildi
{"title":"Dynamical localization for a random scattering zipper","authors":"Hakim Boumaza,&nbsp;Amine Khouildi","doi":"10.1007/s11005-025-01952-x","DOIUrl":"10.1007/s11005-025-01952-x","url":null,"abstract":"<div><p>This article establishes a proof of dynamical localization for a random scattering zipper model. The scattering zipper operator is the product of two unitary by blocks operators, multiplicatively perturbed on the left and right by random unitary phases. One of the operator is shifted so that this configuration produces a random 5-diagonal by blocks unitary operator. To prove the dynamical localization for this operator, we use the fractional moments method. We first prove the continuity and strict positivity of the Lyapunov exponents in an annulus around the unit circle, which leads to the exponential decay of a power of the norm of the products of transfer matrices. We then establish an explicit formula of the coefficients of the finite resolvent in terms of the coefficients of the transfer matrices using Schur’s complement. From this, we deduce, through two reduction results, the exponential decay of the resolvent, from which we get the dynamical localization.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171506","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
Lorentzian metric spaces and GH-convergence: the unbounded case 洛伦兹度量空间与gh收敛：无界情况
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-05-29 DOI: 10.1007/s11005-025-01941-0
A. Bykov, E. Minguzzi, S. Suhr
{"title":"Lorentzian metric spaces and GH-convergence: the unbounded case","authors":"A. Bykov,&nbsp;E. Minguzzi,&nbsp;S. Suhr","doi":"10.1007/s11005-025-01941-0","DOIUrl":"10.1007/s11005-025-01941-0","url":null,"abstract":"<div><p>We introduce a notion of Lorentzian metric space which drops the boundedness condition from our previous work and argue that the properties defining our spaces are minimal. In fact, they are defined by three conditions given by (a) the reverse triangle inequality for chronologically related events, (b) Lorentzian distance continuity and relative compactness of chronological diamonds, and (c) a distinguishing condition via the Lorentzian distance function. By adding a countably generating condition, we confirm the validity of desirable properties for our spaces including the Polish property. The definition of (pre)length space given in our previous work on the bounded case is generalized to this setting. We also define a notion of Gromov–Hausdorff convergence for Lorentzian metric spaces and prove that (pre)length spaces are GH-stable. It is also shown that our (sequenced) Lorentzian metric spaces bring a natural quasi-uniformity (resp. quasi-metric). Finally, an explicit comparison with other recent constructions based on our previous work on bounded Lorentzian metric spaces is presented.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01941-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171561","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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