{"title":"Branes wrapped on quadrilaterals","authors":"Federico Faedo, Alessio Fontanarossa, Dario Martelli","doi":"10.1007/s11005-025-01916-1","DOIUrl":"10.1007/s11005-025-01916-1","url":null,"abstract":"<div><p>We construct new families of supersymmetric <span>({textrm{AdS}}_2times mathbb {M}_4)</span> solutions of <span>(D=6)</span> gauged supergravity and <span>({textrm{AdS}}_3times mathbb {M}_4)</span> solutions of <span>(D=7)</span> gauged supergravity, where <span>(mathbb {M}_4)</span> are four-dimensional toric orbifolds with four fixed points. These are presented in a unified fashion that highlights their common underlying geometry. The <span>(D=6)</span> solutions uplift to massive type IIA and describe the near-horizon limit of D4-branes wrapped on <span>(mathbb {M}_4)</span>, while the <span>(D=7)</span> solutions uplift to <span>(D=11)</span> supergravity and describe the near-horizon limit of M5-branes wrapped on <span>(mathbb {M}_4)</span>. We reproduce the entropy and gravitational central charge of the two families by extremizing a function constructed gluing the orbifold gravitational blocks proposed in Faedo et al. (Lett Math Phys 113:51, 2023. https://doi.org/10.1007/s11005-023-01671-1. arXiv:2210.16128).</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01916-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143571068","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}
{"title":"Achronal localization, representations of the causal logic for massive systems","authors":"Domenico P. L. Castrigiano","doi":"10.1007/s11005-025-01911-6","DOIUrl":"10.1007/s11005-025-01911-6","url":null,"abstract":"<div><p>On plain physical grounds, localization of relativistic quantum particles is extended to the achronal regions of Minkowski spacetime. Achronal localization fulfills automatically the requirements of causality. It constitutes the frame which complies most completely with the principle of causality for quantum mechanical systems. Achronal localization is equivalent to the localization in the regions of the causal logic. Covariant representations of the causal logic are constructed for the systems with mass spectrum of positive Lebesgue measure and every definite spin. Apparently, no representation of the causal logic for a real mass system has been achieved in the past.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01911-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143553648","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}
{"title":"Perturbative BV-BFV formalism with homotopic renormalization: a case study","authors":"Minghao Wang, Gongwang Yan","doi":"10.1007/s11005-025-01913-4","DOIUrl":"10.1007/s11005-025-01913-4","url":null,"abstract":"<div><p>We report a rigorous quantization of topological quantum mechanics on <span>(mathbb {R}_{geqslant 0})</span> and <span>(textbf{I}= [0, 1])</span> in the perturbative BV-BFV formalism. Costello’s homotopic renormalization is extended and incorporated in our construction. As a consequence, we obtain an algebraic characterization of the solutions to the modified quantum master equation. In addition, BV quantization of the same model studied in previous work (Wang and Yan 2022) is derived from the BV-BFV quantization, leading to a comparison between two different frameworks in the study of quantum field theories on manifolds with boundaries.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513338","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}
{"title":"L-function invariants for 3-manifolds and relations between generalized Bernoulli polynomials","authors":"Yuya Murakami","doi":"10.1007/s11005-025-01912-5","DOIUrl":"10.1007/s11005-025-01912-5","url":null,"abstract":"<div><p>We introduce <i>L</i>-functions attached to negative-definite plumbed manifolds as the Mellin transforms of homological blocks. We prove that they are entire functions and their values at <span>( s=0 )</span> are equal to the Witten–Reshetikhin–Turaev invariants by using asymptotic techniques developed by the author in the previous papers. We also prove linear relations between special values at negative integers of some <i>L</i>-functions, which are common generalizations of Hurwitz zeta functions, Barnes zeta functions and Epstein zeta functions.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513339","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}
{"title":"Multicomponent DKP hierarchy and its dispersionless limit","authors":"A. Savchenko, A. Zabrodin","doi":"10.1007/s11005-025-01909-0","DOIUrl":"10.1007/s11005-025-01909-0","url":null,"abstract":"<div><p>Using the free fermions technique and bosonization rules, we introduce the multicomponent DKP hierarchy as a generating bilinear integral equation for the tau-function. A number of bilinear equations of the Hirota–Miwa type are obtained as its corollaries. We also consider the dispersionless version of the hierarchy as a set of nonlinear differential equations for the dispersionless limit of logarithm of the tau-function (the <i>F</i>-function). We show that there is an elliptic curve built in the structure of the hierarchy, with the elliptic modulus being a dynamical variable. This curve can be uniformized by elliptic functions, and in the elliptic parametrization many dispersionless equations of the Hirota–Miwa type become equivalent to a single equation having a nice form.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513159","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}
{"title":"Generalized products and Lorentzian length spaces","authors":"Elefterios Soultanis","doi":"10.1007/s11005-025-01910-7","DOIUrl":"10.1007/s11005-025-01910-7","url":null,"abstract":"<div><p>We construct a Lorentzian length space with an orthogonal splitting on a product <span>(Itimes X)</span> of an interval and a metric space and use this framework to consider the relationship between metric and causal geometry, as well as synthetic time-like Ricci curvature bounds. The generalized Lorentzian product carries a natural <i>Lorentzian length structure</i> but can fail the push-up condition in general. We recover the push-up property under a log-Lipschitz condition on the time variable and establish sufficient conditions for global hyperbolicity. Moreover, we formulate time-like Ricci curvature bounds without push-up and regularity assumptions and obtain a partial rigidity of the splitting under a strong energy condition.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01910-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143471937","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}
{"title":"Bethe algebra using pure spinors","authors":"Simon Ekhammar, Dmytro Volin","doi":"10.1007/s11005-024-01894-w","DOIUrl":"10.1007/s11005-024-01894-w","url":null,"abstract":"<div><p>We explore a <span>({mathfrak {gl}}_{r})</span>-covariant parameterisation of Bethe algebra appearing in <span>({mathfrak {so}}_{2r})</span> integrable models, demonstrate its geometric origin from a fused flag, and use it to compute the spectrum of periodic rational spin chains, for various choices of the rank <i>r</i> and Drinfeld polynomials.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01894-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143388745","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}
{"title":"Rigidity of the extremal Kerr–Newman horizon","authors":"Alex Colling, David Katona, James Lucietti","doi":"10.1007/s11005-025-01902-7","DOIUrl":"10.1007/s11005-025-01902-7","url":null,"abstract":"<div><p>We prove that the intrinsic geometry of compact cross sections of an extremal horizon in four-dimensional Einstein–Maxwell theory must admit a Killing vector field or is static. This implies that any such horizon must be an extremal Kerr–Newman horizon and completes the classification of the associated near-horizon geometries. The same results hold with a cosmological constant.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01902-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143379745","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}
Tim Adamo, Giuseppe Bogna, Lionel Mason, Atul Sharma
{"title":"Gluon scattering on the self-dual dyon","authors":"Tim Adamo, Giuseppe Bogna, Lionel Mason, Atul Sharma","doi":"10.1007/s11005-025-01907-2","DOIUrl":"10.1007/s11005-025-01907-2","url":null,"abstract":"<div><p>The computation of scattering amplitudes in the presence of non-trivial background gauge fields is an important but extremely difficult problem in quantum field theory. In even the simplest backgrounds, obtaining explicit formulae for processes involving more than a few external particles is often intractable. Recently, it has been shown that remarkable progress can be made by considering background fields which are chiral in nature. In this paper, we obtain a compact expression for the tree-level, maximal helicity violating (MHV) scattering amplitude of an arbitrary number of gluons in the background of a self-dual dyon. This is a Cartan-valued, complex gauge field sourced by a point particle with equal electric and magnetic charges and can be viewed as the self-dual version of a Coulomb field. Twistor theory enables us to manifest the underlying integrability of the self-dual dyon, trivializing the perturbative expansion in the MHV sector. The formula contains a single position-space integral over a spatial slice, which can be evaluated explicitly in simple cases. As an application of the formula, we show that the holomorphic collinear splitting functions of gluons in the self-dual dyon background are un-deformed from a trivial background, meaning that holomorphic celestial OPE coefficients and the associated chiral algebra are similarly un-deformed. We also comment on extensions of our MHV formula to the full tree-level gluon S-matrix.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01907-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361852","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}
{"title":"On propagation of information in quantum mechanics and maximal velocity bounds","authors":"Israel Michael Sigal, Xiaoxu Wu","doi":"10.1007/s11005-025-01899-z","DOIUrl":"10.1007/s11005-025-01899-z","url":null,"abstract":"<div><p>We revisit key notions related to the evolution of quantum information in few-body quantum mechanics (fbQM) and, for a wide class of dispersion relations, prove uniform bounds on the maximal speed of propagation of quantum information for states and observables with exponential error bounds. Our results imply, in particular, a fbQM version of the Lieb–Robinson bound, which is known to have wide applications in quantum information sciences. We propose a novel approach to proving maximal speed bounds.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361643","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}