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Polydifferential Lie bialgebras and graph complexes
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-13 DOI: 10.1007/s11005-025-01917-0
Vincent Wolff
{"title":"Polydifferential Lie bialgebras and graph complexes","authors":"Vincent Wolff","doi":"10.1007/s11005-025-01917-0","DOIUrl":"10.1007/s11005-025-01917-0","url":null,"abstract":"<div><p>We study the deformation complex of a canonical morphism <i>i</i> from the properad of (degree shifted) Lie bialgebras <span>(textbf{Lieb}_{c,d})</span> to its polydifferential version <span>(mathcal {D}(textbf{Lieb}_{c,d}))</span> and show that it is quasi-isomorphic to the oriented graph complex <span>(textbf{GC}^{{text {or}}}_{c+d+1})</span>, up to one rescaling class. As the latter complex is quasi-isomorphic to the original graph complex <span>(textbf{GC}_{c+d})</span>, we conclude that for <span>(c+d=2 )</span> the space of homotopy non-trivial infinitesimal deformations of the canonical map <i>i</i> can be identified with the Grothendieck–Teichmüller Lie algebra <span>(mathfrak {grt})</span>; moreover, every such an infinitesimal deformation extends to a genuine deformation of the canonical morphism <i>i</i> from <span>(textbf{Lieb}_{c,d})</span> to <span>(mathcal {D}(textbf{Lieb}_{c,d}))</span>. The full deformation complex is described with the help of a new graph complex of so called entangled graphs.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143602221","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
Nuts, bolts and spindles
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-12 DOI: 10.1007/s11005-025-01915-2
Matteo Kevin Crisafio, Alessio Fontanarossa, Dario Martelli
{"title":"Nuts, bolts and spindles","authors":"Matteo Kevin Crisafio,&nbsp;Alessio Fontanarossa,&nbsp;Dario Martelli","doi":"10.1007/s11005-025-01915-2","DOIUrl":"10.1007/s11005-025-01915-2","url":null,"abstract":"<div><p>We construct new infinite classes of Euclidean supersymmetric solutions of four-dimensional minimal gauged supergravity comprising a <span>(U (1) times U (1))</span>-invariant asymptotically locally hyperbolic metric on the total space of orbifold line bundles over a spindle (bolt). The conformal boundary is generically a squashed, branched, lens space, and the graviphoton gauge field can have either twist or anti-twist through the spindle bolt. Correspondingly, the boundary geometry inherits two types of rigid Killing spinors that we refer to as twist and anti-twist for the three-dimensional Seifert orbifolds, as well as some specific flat connections for the background gauge field, determined by the data of the spindle bolt. For all our solutions, we compute the holographically renormalized on-shell action and compare it to the expression obtained via equivariant localization, uncovering a markedly distinct behavior in the cases of twist and anti-twist. Our results provide precise predictions for the large <i>N</i> limit of the corresponding localized partition functions of three-dimensional <span>(mathcal {N}=2)</span> superconformal field theories placed on Seifert orbifolds.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01915-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143602415","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
Branes wrapped on quadrilaterals
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-08 DOI: 10.1007/s11005-025-01916-1
Federico Faedo, Alessio Fontanarossa, Dario Martelli
{"title":"Branes wrapped on quadrilaterals","authors":"Federico Faedo,&nbsp;Alessio Fontanarossa,&nbsp;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}
引用次数: 0
Achronal localization, representations of the causal logic for massive systems
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-04 DOI: 10.1007/s11005-025-01911-6
Domenico P. L. Castrigiano
{"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}
引用次数: 0
Perturbative BV-BFV formalism with homotopic renormalization: a case study
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-28 DOI: 10.1007/s11005-025-01913-4
Minghao Wang, Gongwang Yan
{"title":"Perturbative BV-BFV formalism with homotopic renormalization: a case study","authors":"Minghao Wang,&nbsp;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}
引用次数: 0
L-function invariants for 3-manifolds and relations between generalized Bernoulli polynomials
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-28 DOI: 10.1007/s11005-025-01912-5
Yuya Murakami
{"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}
引用次数: 0
Multicomponent DKP hierarchy and its dispersionless limit
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-27 DOI: 10.1007/s11005-025-01909-0
A. Savchenko, A. Zabrodin
{"title":"Multicomponent DKP hierarchy and its dispersionless limit","authors":"A. Savchenko,&nbsp;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}
引用次数: 0
Generalized products and Lorentzian length spaces
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-22 DOI: 10.1007/s11005-025-01910-7
Elefterios Soultanis
{"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}
引用次数: 0
Bethe algebra using pure spinors 使用纯旋子的贝叶代数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-12 DOI: 10.1007/s11005-024-01894-w
Simon Ekhammar, Dmytro Volin
{"title":"Bethe algebra using pure spinors","authors":"Simon Ekhammar,&nbsp;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}
引用次数: 0
Rigidity of the extremal Kerr–Newman horizon
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-11 DOI: 10.1007/s11005-025-01902-7
Alex Colling, David Katona, James Lucietti
{"title":"Rigidity of the extremal Kerr–Newman horizon","authors":"Alex Colling,&nbsp;David Katona,&nbsp;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}
引用次数: 0
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