Letters in Mathematical Physics最新文献_第9页

Magnetic Killing tensors and first integrals of the magnetic flow 磁消张量与磁流的第一积分

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-06-10 DOI: 10.1007/s11005-026-02098-0

Andrei Moroianu, Gabriela P. Ovando

引用次数: 0

Global hyperbolicity and manifold topology from the Lorentzian distance 洛伦兹距离下的全局双曲和流形拓扑

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-06-08 DOI: 10.1007/s11005-026-02096-2

Aleksei Bykov, Ettore Minguzzi

{"title":"Global hyperbolicity and manifold topology from the Lorentzian distance","authors":"Aleksei Bykov, Ettore Minguzzi","doi":"10.1007/s11005-026-02096-2","DOIUrl":"10.1007/s11005-026-02096-2","url":null,"abstract":"<div>In this work, we seek characterizations of global hyperbolicity in smooth Lorentzian manifolds that do not rely on the manifold topology and that are inspired by metric geometry. In particular, strong causality is not assumed, so part of the problem is precisely that of recovering the manifold topology so as to make sense of it also in rough frameworks. After verifying that known standard characterizations do not meet this requirement, we propose two possible formulations. The first is based solely on chronological diamonds and is interesting due to its analogies with the Hopf-Rinow theorem. The second uses only properties of the Lorentzian distance function and it is suitable for extension to abstract ‘Lorentzian metric’ frameworks. It turns out to be equivalent to the definition of ‘Lorentzian metric space’ proposed in our previous joint work with S. Suhr, up to slightly strengthening weak d-distinction to ‘future or past d-distinction’. The role of a new property which we term d-reflectivity is also discussed. We then investigate continuity properties of the Lorentzian distance and the property of d-reflectivity in non-smooth frameworks. Finally, we establish a result of broader interest: the exponential map of a smooth spray is ( C^{1,1} ) (smooth outside the zero section). Additionally, we derive a Lorentz-Finsler version of the Busemann-Mayer formula and demonstrate that, in strongly causal smooth Finsler spacetimes, the Finsler fundamental function can be reconstructed from the distance. As a consequence, distance-preserving bijections are shown to be Lorentz-Finsler isometries in the conventional smooth sense.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236835","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

Structure of Dubrovin-Zhang free energy functions and universal identities Dubrovin-Zhang自由能函数的结构与普适恒等式

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-06-05 DOI: 10.1007/s11005-026-02089-1

Sergey Shadrin, Zhe Wang

引用次数: 0

Covariant Lie derivatives and (Super-)gravity 协变李导数与（超）引力

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-05-30 DOI: 10.1007/s11005-026-02091-7

Grigorios Giotopoulos

{"title":"Covariant Lie derivatives and (Super-)gravity","authors":"Grigorios Giotopoulos","doi":"10.1007/s11005-026-02091-7","DOIUrl":"10.1007/s11005-026-02091-7","url":null,"abstract":"<div>The slightly subtle notion of covariant Lie derivatives of bundle-valued differential forms is crucial in many applications in physics, notably in the computation of conserved currents in gauge theories, and yet, the literature on the topic has remained fragmentary. This note provides a complete and concise mathematical account of covariant Lie derivatives on a spacetime (super-)manifold M, defined via choices of lifts of spacetime vector fields to principal G-bundles over it, or equivalently, choices of covariantization correction terms on spacetime. As an application in the context of (super-)gravity, two important examples of covariant Lie derivatives are presented in detail, which have not appeared in unison and direct comparison: (mathbf {(i)}) the natural covariant Lie derivative relating (super-)diffeomorphism invariance to local translational (super-)symmetry and (mathbf {(ii)}) the Kosmann Lie derivative relevant to the description of isometries of (super-)gravity backgrounds. Finally, we use the latter to rigorously justify the usage of the traditional (non-covariant) Lie derivative on coframes and associated fields in dimensional reduction scenarios along abelian G-fibers, an issue which has thus far remained open for topologically non-trivial spacetimes.\u0000</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173398","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

Modular families of elliptic long-range spin chains from freezing 椭圆远程自旋链的模族

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-05-25 DOI: 10.1007/s11005-026-02075-7

Rob Klabbers, Jules Lamers

{"title":"Modular families of elliptic long-range spin chains from freezing","authors":"Rob Klabbers, Jules Lamers","doi":"10.1007/s11005-026-02075-7","DOIUrl":"10.1007/s11005-026-02075-7","url":null,"abstract":"<div>We consider the construction of quantum-integrable spin chains with q-deformed long-range interactions by ‘freezing’ integrable quantum many-body systems with spins. The input is a (quantum) spin-Ruijsenaars system along with an equilibrium configuration of the underlying spinless classical Ruijsenaars–Schneider system. We focus on the elliptic case. For a distinguished choice of equilibrium, the resulting long-range spin chain has a real spectrum and admits a short-range limit, providing an integrable interpolation from nearest-neighbor to long-range interacting spins. We first define an action of the modular group on the spinless elliptic Ruijsenaars–Schneider system to show that, for a fixed elliptic parameter, it has a whole modular family of classical equilibrium configurations. These typically have constant but nonzero momenta. Then we use the setting of deformation quantization to provide a uniform framework for freezing elliptic spin-Ruijsenaars systems at any classical equilibrium while preserving quantum integrability. As we showed in previous work, the results include the Heisenberg, Inozemtsev and Haldane–Shastry chains along with their xxz-like q-deformations (face type), or the antiperiodic Haldane–Shastry chain of Fukui–Kawakami, its elliptic generalization of Sechin–Zotov, and their completely anisotropic q-deformations due to Matushko–Zotov (vertex type). Finally, we show how freezing fits in the setting of ‘hybrid’ integrable systems.\u0000</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02075-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009906","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

A contact topological glossary for non-equilibrium thermodynamics 非平衡热力学的接触拓扑术语表

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-05-25 DOI: 10.1007/s11005-026-02074-8

Michael Entov, Leonid Polterovich, Lenya Ryzhik

引用次数: 0

The index of lattice Dirac operators and K-theory 点阵狄拉克算子的指标与k理论

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-05-23 DOI: 10.1007/s11005-026-02080-w

Shoto Aoki, Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi

引用次数: 0

Factorization of multimeters: a unified view on nonclassical quantum phenomena 万用表的因数分解：非经典量子现象的统一观点

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-05-21 DOI: 10.1007/s11005-026-02088-2

Tim Achenbach, Andreas Bluhm, Leevi Leppäjärvi, Ion Nechita, Martin Plávala

{"title":"Factorization of multimeters: a unified view on nonclassical quantum phenomena","authors":"Tim Achenbach, Andreas Bluhm, Leevi Leppäjärvi, Ion Nechita, Martin Plávala","doi":"10.1007/s11005-026-02088-2","DOIUrl":"10.1007/s11005-026-02088-2","url":null,"abstract":"<div>Quantum theory exhibits various nonclassical features, such as measurement incompatibility, contextuality, steering, and Bell nonlocality, which distinguish it from classical physics. These phenomena are often studied separately, but they possess deep interconnections. This work introduces a unified mathematical framework based on commuting diagrams that unifies them. By representing collections of measurements (multimeters) as maps to the set of column stochastic matrices, we show that measurement compatibility and simulability correspond to specific factorizations of these maps through intermediate systems. We apply this framework to put forward connections between different nonclassical notions and provide factorization-based characterizations for steering assemblages and Bell correlations, including a new perspective on the Clauser–Horne–Shimony–Holt inequality witnessing measurement incompatibility. We also investigate the symmetric n-extensions of multimeters and no-signaling behaviors and connect these extensions to a notion of n-wise compatibility and to the existence of n-wise local hidden variable models, respectively. Furthermore, we investigate robustness to noise of nonlocal features by examining factorization conditions for maps involving noisy state spaces, providing geometric criteria for when noisy multimeters can be simulated by simpler measurement settings.\u0000</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02088-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009376","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

Orthosymplectic R-matrices Orthosymplectic R-matrices

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-05-15 DOI: 10.1007/s11005-026-02082-8

Kyungtak Hong, Alexander Tsymbaliuk

引用次数: 0

On light cone bounds for Markov quantum open systems 马尔可夫量子开放系统的光锥界

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2026-05-08 DOI: 10.1007/s11005-026-02086-4

Israel Michael Sigal, Xiaoxu Wu

引用次数: 0