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Communications in Mathematical Physics最新文献

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New Push-Forward Relation and Universal Equation for Higher Genus Gromov–Witten invariants 高格Gromov-Witten不变量的新推前关系和通用方程
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05634-0
Xin Wang
{"title":"New Push-Forward Relation and Universal Equation for Higher Genus Gromov–Witten invariants","authors":"Xin Wang","doi":"10.1007/s00220-026-05634-0","DOIUrl":"10.1007/s00220-026-05634-0","url":null,"abstract":"<div><p>We study the relations between Blot–Shadrin–Singh tautological relation and the DR formula for Hodge character class <span>({{,textrm{ch},}}_{2g-1}(mathbb {E}))</span> on <span>(overline{mathcal {M}}_{g})</span>. In particular, we prove the equivalence between Blot–Shadrin–Singh tautological relation on <span>(overline{mathcal {M}}_{g,1})</span> and the DR formula for Hodge character class <span>({{,textrm{ch},}}_{2g-1}(mathbb {E}))</span> on <span>(overline{mathcal {M}}_{g})</span>. As two applications, we first find a new push-forward tautological relation on <span>(overline{mathcal {M}}_{g+1})</span> for <span>(gge 1)</span>, which extends the Liu-Pandharipande relation to a lower degree. Second, we obtain a new partial differential equation for higher genus descendant Gromov–Witten invariants of any smooth projective variety.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Infinite Prandtl Number Convection with Navier-Slip Boundary Conditions 具有Navier-Slip边界条件的无限普朗特数对流
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05637-x
Christian Seis
{"title":"Infinite Prandtl Number Convection with Navier-Slip Boundary Conditions","authors":"Christian Seis","doi":"10.1007/s00220-026-05637-x","DOIUrl":"10.1007/s00220-026-05637-x","url":null,"abstract":"<div><p>We are concerned with infinite Prandtl number Rayleigh–Bénard convection with Navier-slip boundary conditions. The goal of this work is to estimate the average upward heat flux measured by the non-dimensional Nusselt number <span>(textit{Nu})</span> in terms of the Rayleigh number <span>(textit{Ra})</span>, which is a non-dimensional quantity measuring the imposed temperature gradient. We derive bounds on the Nusselt number that coincide for relatively small slip lengths with the optimal Nusselt number scaling for no-slip boundaries, <span>(textit{Nu}lesssim textit{Ra}^{1/3})</span>; for relatively large slip lengths, we recover scaling estimates for free-slip boundaries, <span>(textit{Nu}lesssim textit{Ra}^{5/12})</span>.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05637-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796758","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
Knizhnik–Zamolodchikov Equations in Deligne Categories Deligne范畴中的Knizhnik-Zamolodchikov方程
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05612-6
P. Etingof, I. Motorin, A. Varchenko, I. Zhu
{"title":"Knizhnik–Zamolodchikov Equations in Deligne Categories","authors":"P. Etingof,&nbsp;I. Motorin,&nbsp;A. Varchenko,&nbsp;I. Zhu","doi":"10.1007/s00220-026-05612-6","DOIUrl":"10.1007/s00220-026-05612-6","url":null,"abstract":"<div><p>We consider the Knizhnik–Zamolodchikov equations in Deligne Categories in the context of <span>((mathfrak {gl}_m,mathfrak {gl}_{n}))</span> and <span>((mathfrak {so}_m,mathfrak {so}_{2n}))</span> dualities. We derive integral formulas for the solutions in the first case and compute monodromy in both cases.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
On the Structure of Compact Strong HKT Manifolds 紧致强HKT流形的结构
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05627-z
Beatrice Brienza, Anna Fino, Gueo Grantcharov, Misha Verbitsky
{"title":"On the Structure of Compact Strong HKT Manifolds","authors":"Beatrice Brienza,&nbsp;Anna Fino,&nbsp;Gueo Grantcharov,&nbsp;Misha Verbitsky","doi":"10.1007/s00220-026-05627-z","DOIUrl":"10.1007/s00220-026-05627-z","url":null,"abstract":"<div><p>We study the geometry of compact strong HKT and, more generally, compact BHE manifolds. We prove that any compact BHE manifold with full holonomy must be Kähler and we establish a similar result for strong HKT manifolds. Additionally, we demonstrate a rigidity theorem for strong HKT structures on solvmanifolds and we completely classify those with parallel Bismut torsion. Finally, we introduce the Ricci foliation for hypercomplex manifolds and analyze its properties for compact, simply connected, 8-dimensional strong HKT manifolds, proving that they are always Hopf fibrations over a compact 4-dimensional orbifold.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796670","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Off-Shell Double Copy Theories in BV BV中的Off-Shell双复制理论
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05609-1
Maor Ben-Shahar, Francesco Bonechi, Maxim Zabzine
{"title":"Off-Shell Double Copy Theories in BV","authors":"Maor Ben-Shahar,&nbsp;Francesco Bonechi,&nbsp;Maxim Zabzine","doi":"10.1007/s00220-026-05609-1","DOIUrl":"10.1007/s00220-026-05609-1","url":null,"abstract":"<div><p>We present a construction of the double copy for gauge theories that exhibit off-shell color-kinematics duality within the Batalin-Vilkovitsky (BV) formalism. As illustrative examples, we consider the double copies of Chern-Simons theory, four-dimensional BF theory, and two-dimensional Yang-Mills theory, and we discuss possible gravity interpretations for these cases. We formalize the construction and demonstrate that Kodaira-Spencer gravity, Kähler gravity, and their generalizations, fit naturally within this framework. In particular, Kodaira-Spencer gravity emerges as a gauge theory describing deformations of generalized complex structures, while the double copy of Chern-Simons theory captures the deformation of the Courant bracket.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Correction to: Abundance of Observable Lyapunov Irregular Sets 修正：可观测Lyapunov不规则集的丰度
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05582-9
Shin Kiriki, Xiaolong Li, Yushi Nakano, Teruhiko Soma
{"title":"Correction to: Abundance of Observable Lyapunov Irregular Sets","authors":"Shin Kiriki,&nbsp;Xiaolong Li,&nbsp;Yushi Nakano,&nbsp;Teruhiko Soma","doi":"10.1007/s00220-026-05582-9","DOIUrl":"10.1007/s00220-026-05582-9","url":null,"abstract":"","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
The Zero-Dispersion Limit for the Benjamin–Ono Equation on the Circle 圆上Benjamin-Ono方程的零色散极限
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05628-y
Ola Mæhlen
{"title":"The Zero-Dispersion Limit for the Benjamin–Ono Equation on the Circle","authors":"Ola Mæhlen","doi":"10.1007/s00220-026-05628-y","DOIUrl":"10.1007/s00220-026-05628-y","url":null,"abstract":"<div><p>Using the explicit formula of P. Gérard, we characterize the zero-dispersion limit for solutions of the Benjamin–Ono equation on the circle <span>(mathbb {T}{:}{=}mathbb {R}/2pi mathbb {Z})</span> with bounded initial data <span>(u_0in L^infty (mathbb {T},mathbb {R}))</span>. The result generalizes the work of L. Gassot, who focused on periodic bell-shaped data, and complements the work of Gérard and X. Chen who identified the zero-dispersion limit on the line with <span>(u_0in L^2cap L^infty (mathbb {R}))</span>. Here, as well as in the mentioned cases, the characterization agrees with the one first obtained by Miller–Xu for bell-shaped data on the line: The zero-dispersion limit is given as an alternating sum of the branches of the multivalued solution of Burgers’ equation. From this characterization, we compute regularity properties of the zero-dispersion limit, including maximum principles and an Oleinik estimate.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05628-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796675","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
Cutoff for Geodesic Paths on Hyperbolic Manifolds 双曲流形上测地线路径的截止
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05607-3
Charles Bordenave, Joffrey Mathien
{"title":"Cutoff for Geodesic Paths on Hyperbolic Manifolds","authors":"Charles Bordenave,&nbsp;Joffrey Mathien","doi":"10.1007/s00220-026-05607-3","DOIUrl":"10.1007/s00220-026-05607-3","url":null,"abstract":"<div><p>We establish new instances of the cutoff phenomenon for geodesic paths and for the Brownian motion on compact hyperbolic manifolds. We prove that for any fixed compact hyperbolic manifold, the geodesic path started on a spatially localized initial condition exhibits cutoff. Our work also extends results obtained by Golubev and Kamber on hyperbolic surfaces of large volume to any dimension. Our proof builds upon a spectral strategy introduced by Lubetzky and Peres for Ramanujan graphs and on a detailed spectral analysis of the spherical mean operator.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
A Superintegrable Quantum Field Theory 超可积量子场论
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05605-5
Marine De Clerck, Oleg Evnin
{"title":"A Superintegrable Quantum Field Theory","authors":"Marine De Clerck,&nbsp;Oleg Evnin","doi":"10.1007/s00220-026-05605-5","DOIUrl":"10.1007/s00220-026-05605-5","url":null,"abstract":"<div><p>Gérard and Grellier proposed, under the name of the cubic Szegő equation, a remarkable classical field theory on a circle with a quartic Hamiltonian. The Lax integrability structure that emerges from their definition is so constraining that it allows for writing down an explicit general solution for prescribed initial data, and at the same time, the dynamics is highly nontrivial and involves turbulent energy transfer to arbitrarily short wavelengths. The quantum version of the same Hamiltonian is even more striking: not only the Hamiltonian itself, but also its associated conserved hierarchies display purely integer spectra, indicating a structure beyond ordinary quantum integrability. Here, we initiate a systematic study of this quantum system by presenting a mixture of analytic results and empirical observations on the structure of its eigenvalues and eigenvectors, conservation laws, ladder operators, etc.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05605-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796753","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
On the Moments of the Mass of Shrinking Balls Under the Critical 2d Stochastic Heat Flow 临界二维随机热流作用下收缩球质量矩的研究
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-05-02 DOI: 10.1007/s00220-026-05616-2
Ziyang Liu, Nikos Zygouras
{"title":"On the Moments of the Mass of Shrinking Balls Under the Critical 2d Stochastic Heat Flow","authors":"Ziyang Liu,&nbsp;Nikos Zygouras","doi":"10.1007/s00220-026-05616-2","DOIUrl":"10.1007/s00220-026-05616-2","url":null,"abstract":"<div><p>The Critical 2<i>d</i> Stochastic Heat Flow (SHF) is a measure valued stochastic process on <span>(mathbb {R}^2)</span> that defines a non-trivial solution to the two-dimensional stochastic heat equation with multiplicative space-time noise. Its one-time marginals are a.s. singular with respect to the Lebesgue measure, meaning that the mass they assign to shrinking balls decays to zero faster than their Lebesgue volume. In this work we explore the intermittency properties of the Critical 2d SHF by studying the asymptotics of the <i>h</i>-th moment of the mass that it assigns to shrinking balls of radius <span>(epsilon )</span> and we determine that its ratio to the Lebesgue volume is of order <span>((log tfrac{1}{epsilon })^{{hatopwithdelims ()2}})</span> up to possible lower order corrections.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05616-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796672","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
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