Communications in Mathematical Physics最新文献_第10页

Rigidity Aspects of Penrose’s Singularity Theorem Penrose奇异定理的刚性方面

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-01-11 DOI: 10.1007/s00220-024-05210-4

Gregory Galloway, Eric Ling

引用次数: 0

Stability Threshold of Nearly-Couette Shear Flows with Navier Boundary Conditions in 2D 二维Navier边界条件下近couette剪切流的稳定阈值

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-01-11 DOI: 10.1007/s00220-024-05175-4

Jacob Bedrossian, Siming He, Sameer Iyer, Fei Wang

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The Random Arnold Conjecture: A New Probabilistic Conley-Zehnder Theory for Symplectic Maps 随机阿诺德猜想：辛映射的一种新的概率Conley-Zehnder理论

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-01-11 DOI: 10.1007/s00220-024-05160-x

Álvaro Pelayo, Fraydoun Rezakhanlou

{"title":"The Random Arnold Conjecture: A New Probabilistic Conley-Zehnder Theory for Symplectic Maps","authors":"Álvaro Pelayo, Fraydoun Rezakhanlou","doi":"10.1007/s00220-024-05160-x","DOIUrl":"10.1007/s00220-024-05160-x","url":null,"abstract":"<div><p>Inspired by the classical Conley-Zehnder Theorem and the Arnold Conjecture in symplectic topology, we prove a number of probabilistic theorems about the existence and density of fixed points of <i>symplectic strand diffeomorphisms</i> in dimensions greater than 2. These are symplectic diffeomorphisms <span>(Phi = (Q,P): {{mathbb {R}}}^{d} times {{mathbb {R}}}^{d} rightarrow {{mathbb {R}}}^{d} times {{mathbb {R}}}^{d})</span> on the variables (<i>q</i>, <i>p</i>) such that for every <span>(pin {{mathbb {R}}}^d)</span> the induced map <span>(qmapsto Q(q,p))</span> is a diffeomorphism of <span>({{mathbb {R}}}^d)</span>. In particular we verify that quasiperiodic symplectic strand diffeomorphisms have infinitely many fixed points almost surely, provided certain natural conditions hold (inspired by the conditions in the Conley-Zehnder Theorem). The paper contains also a number of theorems which go well beyond the quasiperiodic case. Overall the paper falls within the area of stochastic dynamics but with a very strong symplectic geometric motivation, and as such its main inspiration can be traced back to Poincaré’s fundamental work on celestial mechanics and the restricted 3-body problem.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-024-05160-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142962950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Ground State Energy of Dilute Bose Gases in 1D 一维中稀释玻色气体的基态能

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-01-11 DOI: 10.1007/s00220-024-05193-2

Johannes Agerskov, Robin Reuvers, Jan Philip Solovej

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T-Dualities and Courant Algebroid Relations t对偶性与代数关系

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-01-06 DOI: 10.1007/s00220-024-05185-2

Thomas C. De Fraja, Vincenzo Emilio Marotta, Richard J. Szabo

引用次数: 0

Fractional Laplacian with Supercritical Killings 具有超临界杀戮的分数阶拉普拉斯式

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-01-06 DOI: 10.1007/s00220-024-05201-5

Soobin Cho, Renming Song

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Symplectic Cuts and Open/Closed Strings I 交映切分和开/闭弦 I

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2024-12-18 DOI: 10.1007/s00220-024-05190-5

Luca Cassia, Pietro Longhi, Maxim Zabzine

{"title":"Symplectic Cuts and Open/Closed Strings I","authors":"Luca Cassia, Pietro Longhi, Maxim Zabzine","doi":"10.1007/s00220-024-05190-5","DOIUrl":"10.1007/s00220-024-05190-5","url":null,"abstract":"<div><p>This paper introduces a concrete relation between genus zero closed Gromov–Witten invariants of Calabi–Yau threefolds and genus zero open Gromov–Witten invariants of a Lagrangian <i>A</i>-brane in the same threefold. Symplectic cutting is a natural operation that decomposes a symplectic manifold <span>((X,omega ))</span> with a Hamiltonian <i>U</i>(1) action into two pieces glued along an invariant divisor. In this paper we study a quantum uplift of the cut construction defined in terms of equivariant gauged linear sigma models. The nexus between closed and open Gromov–Witten invariants is a quantum Lebesgue measure associated to a choice of cut, that we introduce and study. Integration of this measure recovers the equivariant quantum volume of the whole CY3, thereby encoding closed Gromov–Witten invariants. Conversely, the monodromies of the quantum measure around cycles in Kähler moduli space encode open Gromov–Witten invariants of a Lagrangian <i>A</i>-brane associated to the cut. Both in the closed and the open string sector we find a remarkable interplay between worldsheet instantons and semiclassical volumes regularized by equivariance. This leads to equivariant generating functions of GW invariants that extend smoothly across the entire moduli space, and which provide a unifying description of standard GW potentials. The latter are recovered in the non-equivariant limit in each of the different phases of the geometry.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-024-05190-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142844959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Quantum Reference Frames, Measurement Schemes and the Type of Local Algebras in Quantum Field Theory 量子参考框架、测量方案和量子场论中的局部代数类型

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2024-12-18 DOI: 10.1007/s00220-024-05180-7

Christopher J. Fewster, Daan W. Janssen, Leon Deryck Loveridge, Kasia Rejzner, James Waldron

{"title":"Quantum Reference Frames, Measurement Schemes and the Type of Local Algebras in Quantum Field Theory","authors":"Christopher J. Fewster, Daan W. Janssen, Leon Deryck Loveridge, Kasia Rejzner, James Waldron","doi":"10.1007/s00220-024-05180-7","DOIUrl":"10.1007/s00220-024-05180-7","url":null,"abstract":"<div><p>We develop an operational framework, combining relativistic quantum measurement theory with quantum reference frames (QRFs), in which local measurements of a quantum field on a background with symmetries are performed relative to a QRF. This yields a joint algebra of quantum-field and reference-frame observables that is invariant under the natural action of the group of spacetime isometries. For the appropriate class of quantum reference frames, this algebra is parameterised in terms of crossed products. Provided that the quantum field has good thermal properties (expressed by the existence of a KMS state at some nonzero temperature), one can use modular theory to show that the invariant algebra admits a semifinite trace. If furthermore the quantum reference frame has good thermal behaviour (expressed in terms of the properties of a KMS weight) at the same temperature, this trace is finite. We give precise conditions for the invariant algebra of physical observables to be a type <span>(text {II}_1)</span> factor. Our results build upon recent work of Chandrasekaran et al. (J High Energy Phys 2023(2): 1–56, 2023. arXiv:2206.10780), providing both a significant mathematical generalisation of these findings and a refined operational understanding of their model.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-024-05180-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142844957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Resurgence of Chern–Simons Theory at the Trivial Flat Connection 切尔-西蒙斯理论在三维平面连接处的复兴

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2024-12-18 DOI: 10.1007/s00220-024-05149-6

Stavros Garoufalidis, Jie Gu, Marcos Mariño, Campbell Wheeler

{"title":"Resurgence of Chern–Simons Theory at the Trivial Flat Connection","authors":"Stavros Garoufalidis, Jie Gu, Marcos Mariño, Campbell Wheeler","doi":"10.1007/s00220-024-05149-6","DOIUrl":"10.1007/s00220-024-05149-6","url":null,"abstract":"<div><p>Some years ago, it was conjectured by the first author that the Chern–Simons perturbation theory of a 3-manifold at the trivial flat connection is a resurgent power series. We describe completely the resurgent structure of the above series (including the location of the singularities and their Stokes constants) in the case of a hyperbolic knot complement in terms of an extended square matrix (<i>x</i>, <i>q</i>)-series whose rows are indexed by the boundary parabolic <span>(textrm{SL}_2(mathbb {C}))</span>-flat connections, including the trivial one. We use our extended matrix to describe the Stokes constants of the above series, to define explicitly their Borel transform and to identify it with state–integrals. Along the way, we use our matrix to give an analytic extension of the Kashaev invariant and of the colored Jones polynomial and to complete the matrix valued holomorphic quantum modular forms as well as to give an exact version of the refined quantum modularity conjecture of Zagier and the first author. Finally, our matrix provides an extension of the 3D-index in a sector of the trivial flat connection. We illustrate our definitions, theorems, numerical calculations and conjectures with the two simplest hyperbolic knots.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-024-05149-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142844943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Remarks on Mod-2 Elliptic Genus 关于模-2椭圆属的评论

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2024-12-18 DOI: 10.1007/s00220-024-05202-4

Yuji Tachikawa, Mayuko Yamashita, Kazuya Yonekura

引用次数: 0