发布求助
文献互助 智能选刊 最新文献

Letters in Mathematical Physics最新文献

筛选
英文 中文
Petz–Rényi relative entropy in QFT from modular theory 基于模理论的QFT中的petz - r<s:1>相对熵
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-17 DOI: 10.1007/s11005-025-01923-2
Markus B. Fröb, Leonardo Sangaletti
{"title":"Petz–Rényi relative entropy in QFT from modular theory","authors":"Markus B. Fröb,&nbsp;Leonardo Sangaletti","doi":"10.1007/s11005-025-01923-2","DOIUrl":"10.1007/s11005-025-01923-2","url":null,"abstract":"<div><p>We consider the generalization of the Araki–Uhlmann formula for relative entropy to Petz–Rényi relative entropy. We compute this entropy for a free scalar field in the Minkowski wedge between the vacuum and a coherent state, as well as for the free chiral current in a thermal state. In contrast to the relative entropy which in these cases only depends on the symplectic form and thus reduces to the classical entropy of a wave packet, the Petz–Rényi relative entropy also depends on the symmetric part of the two-point function and is thus genuinely quantum. We also consider the relation with standard subspaces, where we define the Rényi entropy of a vector and show that it admits an upper bound given by the entropy of the vector.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01923-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143632562","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
Stabilization against collapse of 2D attractive Bose–Einstein condensates with repulsive, three-body interactions 具有排斥的三体相互作用的二维吸引玻色-爱因斯坦凝聚体的抗坍缩稳定性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-17 DOI: 10.1007/s11005-025-01897-1
Dinh-Thi Nguyen, Julien Ricaud
{"title":"Stabilization against collapse of 2D attractive Bose–Einstein condensates with repulsive, three-body interactions","authors":"Dinh-Thi Nguyen,&nbsp;Julien Ricaud","doi":"10.1007/s11005-025-01897-1","DOIUrl":"10.1007/s11005-025-01897-1","url":null,"abstract":"<div><p>We consider a trapped Bose gas of <i>N</i> identical bosons in two-dimensional space with both an attractive, two-body, scaled interaction and a repulsive, three-body, scaled interaction of the form <span>(-aN^{2alpha -1} U(N^alpha cdot ))</span> and <span>(bN^{4beta -2} W(N^beta cdot , N^beta cdot )))</span>, respectively, where <span>(a,b,alpha ,beta &gt;0)</span> and <span>(int _{mathbb R^2}U(x) {text {d}} x = 1 = iint _{mathbb R^{4}} W(x,y) {text {d}} x {text {d}} y)</span>. We derive rigorously the cubic–quintic nonlinear Schrödinger semiclassical theory as the mean-field limit of the model and we investigate the behavior of the system in the double-limit <span>(a = a_N rightarrow a_*)</span> and <span>(b = b_N searrow 0)</span>. Moreover, we also consider the homogeneous problem where the trapping potential is removed.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638629","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
Complex structure on quantum-braided planes 量子编织平面上的复杂结构
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-15 DOI: 10.1007/s11005-025-01914-3
Edwin Beggs, Shahn Majid
{"title":"Complex structure on quantum-braided planes","authors":"Edwin Beggs,&nbsp;Shahn Majid","doi":"10.1007/s11005-025-01914-3","DOIUrl":"10.1007/s11005-025-01914-3","url":null,"abstract":"<div><p>We construct a quantum Dolbeault double complex <span>(oplus _{p,q}Omega ^{p,q})</span> on the quantum plane <span>({mathbb {C}}_q^2)</span>. This solves the long-standing problem that the standard differential calculus on the quantum plane is not a <span>(*)</span>-calculus, by embedding it as the holomorphic part of a <span>(*)</span>-calculus. We show in general that any Nichols–Woronowicz algebra or braided plane <span>(B_+(V))</span>, where <i>V</i> is an object in an Abelian <span>({mathbb {C}})</span>-linear braided bar category of real type, is a quantum complex space in this sense of a factorisable Dolbeault double complex. We combine the Chern construction on <span>(Omega ^{1,0})</span> in such a Dolbeault complex for an algebra <i>A</i> with its conjugate to construct a canonical metric-compatible connection on <span>(Omega ^1)</span> associated with a class of quantum metrics, and apply this to the quantum plane. We also apply this to finite groups <i>G</i> with Cayley graph generators split into two halves related by inversion, constructing such a Dolbeault complex <span>(Omega (G))</span> in this case. This construction recovers the quantum Levi-Civita connection for any edge-symmetric metric on the integer lattice with <span>(Omega ({mathbb {Z}}))</span>, now viewed as a quantum complex structure on <span>({mathbb {Z}})</span>. We also show how to build natural quantum metrics on <span>(Omega ^{1,0})</span> and <span>(Omega ^{0,1})</span> separately, where the inner product in the case of the quantum plane, in order to descend to <span>(otimes _A)</span>, is taken with values in an <i>A</i>-bimodule.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01914-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622089","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
Polydifferential Lie bialgebras and graph complexes 多微分李双代数与图复形
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 螺母、螺栓和主轴
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 包裹在四边形上的膜
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 时间定位：海量系统因果逻辑的表示
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 具有同伦重整化的微扰BV-BFV形式：一个案例研究
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 3流形的l -函数不变量及广义伯努利多项式之间的关系
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 多分量DKP层次及其无色散极限
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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信