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Generalized products and Lorentzian length spaces 广义积与洛伦兹长度空间
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 极端克尔-纽曼视界的刚性
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
Gluon scattering on the self-dual dyon 自对偶dyon上的胶子散射
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-08 DOI: 10.1007/s11005-025-01907-2
Tim Adamo, Giuseppe Bogna, Lionel Mason, Atul Sharma
{"title":"Gluon scattering on the self-dual dyon","authors":"Tim Adamo,&nbsp;Giuseppe Bogna,&nbsp;Lionel Mason,&nbsp;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}
引用次数: 0
On propagation of information in quantum mechanics and maximal velocity bounds 量子力学中信息的传播与最大速度界
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-07 DOI: 10.1007/s11005-025-01899-z
Israel Michael Sigal, Xiaoxu Wu
{"title":"On propagation of information in quantum mechanics and maximal velocity bounds","authors":"Israel Michael Sigal,&nbsp;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}
引用次数: 0
Lorentzian bordisms in algebraic quantum field theory 代数量子场论中的洛伦兹局域性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-03 DOI: 10.1007/s11005-025-01906-3
Severin Bunk, James MacManus, Alexander Schenkel
{"title":"Lorentzian bordisms in algebraic quantum field theory","authors":"Severin Bunk,&nbsp;James MacManus,&nbsp;Alexander Schenkel","doi":"10.1007/s11005-025-01906-3","DOIUrl":"10.1007/s11005-025-01906-3","url":null,"abstract":"<div><p>It is shown that every algebraic quantum field theory has an underlying functorial field theory which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This means that globally hyperbolic Lorentzian bordisms between Cauchy surfaces arise naturally in the context of algebraic quantum field theory. The underlying functorial field theory encodes the time evolution of the original theory, but not its spatially local structure. As an illustrative application of these results, the algebraic and functorial descriptions of a free scalar quantum field are compared in detail.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01906-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107873","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
Higher form symmetries and orbifolds of two-dimensional Yang–Mills theory 二维杨-米尔斯理论的高形式对称性和轨道
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-01-31 DOI: 10.1007/s11005-025-01905-4
Leonardo Santilli, Richard J. Szabo
{"title":"Higher form symmetries and orbifolds of two-dimensional Yang–Mills theory","authors":"Leonardo Santilli,&nbsp;Richard J. Szabo","doi":"10.1007/s11005-025-01905-4","DOIUrl":"10.1007/s11005-025-01905-4","url":null,"abstract":"<div><p>We undertake a detailed study of the gaugings of two-dimensional Yang–Mills theory by its intrinsic charge conjugation 0-form and centre 1-form global symmetries, elucidating their higher algebraic and geometric structures, as well as the meaning of dual lower form symmetries. Our derivations of orbifold gauge theories make use of a combination of standard continuum path integral methods, networks of topological defects, and techniques from higher gauge theory. We provide a unified description of higher and lower form gauge fields for a <i>p</i>-form symmetry in the geometric setting of <i>p</i>-gerbes, and derive reverse orbifolds by the dual <span>((-1))</span>-form symmetries. We identify those orbifolds in which charge conjugation symmetry is spontaneously broken, and relate the breaking to mixed anomalies involving <span>((-1))</span>-form symmetries. We extend these considerations to gaugings by the non-invertible 1-form symmetries of two-dimensional Yang–Mills theory by introducing a notion of generalized <span>(theta )</span>-angle.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110118","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
Inequalities between Dirichlet and Neumann eigenvalues of the magnetic Laplacian 磁性拉普拉斯算子的Dirichlet和Neumann特征值之间的不等式
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-01-30 DOI: 10.1007/s11005-025-01901-8
Vladimir Lotoreichik
{"title":"Inequalities between Dirichlet and Neumann eigenvalues of the magnetic Laplacian","authors":"Vladimir Lotoreichik","doi":"10.1007/s11005-025-01901-8","DOIUrl":"10.1007/s11005-025-01901-8","url":null,"abstract":"<div><p>We consider the magnetic Laplacian with the homogeneous magnetic field in two and three dimensions. We prove that the <span>((k+1))</span>-th magnetic Neumann eigenvalue of a bounded convex planar domain is not larger than its <i>k</i>-th magnetic Dirichlet eigenvalue for all <span>(kin {{mathbb {N}}})</span>. In three dimensions, we restrict our attention to convex domains, which are invariant under rotation by an angle of <span>(pi )</span> around an axis parallel to the magnetic field. For such domains, we prove that the <span>((k+2))</span>-th magnetic Neumann eigenvalue is not larger than the <i>k</i>-th magnetic Dirichlet eigenvalue provided that this Dirichlet eigenvalue is simple. The proofs rely on a modification of the strategy suggested by Payne and developed further by Levine and Weinberger.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01901-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110070","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
Loschmidt echo for deformed Wigner matrices 变形Wigner矩阵的Loschmidt回波。
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-01-30 DOI: 10.1007/s11005-025-01904-5
László Erdős, Joscha Henheik, Oleksii Kolupaiev
{"title":"Loschmidt echo for deformed Wigner matrices","authors":"László Erdős,&nbsp;Joscha Henheik,&nbsp;Oleksii Kolupaiev","doi":"10.1007/s11005-025-01904-5","DOIUrl":"10.1007/s11005-025-01904-5","url":null,"abstract":"<div><p>We consider two Hamiltonians that are close to each other, <span>(H_1 approx H_2 )</span>, and analyze the time decay of the corresponding <i>Loschmidt echo</i> <span>(mathfrak {M}(t):= |langle psi _0, textrm{e}^{textrm{i} t H_2} textrm{e}^{-textrm{i} t H_1} psi _0 rangle |^2)</span> that expresses the effect of an imperfect time reversal on the initial state <span>(psi _0)</span>. Our model Hamiltonians are deformed Wigner matrices that do not share a common eigenbasis. The main tools are new two-resolvent laws for such <span>(H_1)</span> and <span>(H_2)</span>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11782466/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143078413","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
New combinatorial formulae for nested Bethe vectors II 嵌套贝特向量的新组合公式2。
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-01-28 DOI: 10.1007/s11005-025-01896-2
Maksim Kosmakov, Vitaly Tarasov
{"title":"New combinatorial formulae for nested Bethe vectors II","authors":"Maksim Kosmakov,&nbsp;Vitaly Tarasov","doi":"10.1007/s11005-025-01896-2","DOIUrl":"10.1007/s11005-025-01896-2","url":null,"abstract":"<div><p>We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian <span>(Y(mathfrak {gl}_n))</span>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11775048/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143063015","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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