COMMUNICATIONS IN MATHEMATICAL PHYSICS数学物理通讯
COMMUNICATIONS IN MATHEMATICAL PHYSICS(英文缩写 COMMUN MATH PHYS),ISSN 0010-3616,eISSN 1432-0916,中文译名:数学物理通讯 是一本学术期刊。本页汇总该期刊的最新影响因子、分区信息以及最新收录于 PubMed 的文献,帮助您快速了解期刊全貌。
发文量统计区间：2025-11-01 至 2026-10-31，按本站收录文献的发表日期统计。
期刊介绍
历年影响因子趋势
| JCR 数据年份 | 影响因子 | JCR 分区 |
|---|---|---|
| 2021 | 2.361 | Q1 |
| 2022 | 2.400 | Q1 |
| 2023 | 2.200 | Q1 |
| 2024 | 2.600 | Q1 |
| 2025 | 2.900 | Q1 |
COMMUNICATIONS IN MATHEMATICAL PHYSICS 最新收录文献
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1. Surface Observables, 2-Knot Invariants, and Nonabelian Electric Fluxes.
1. 表面可观测值、2-纽结不变量与非阿贝尔电通量PMID:日期:2026-09-27This work introduces a surface observable for nonabelian four-dimensional theory with a cosmological term. The surface observable yields new 2-knot invariants that may extend beyond known examples such as the Alexander invariant. By BV pushforward, the surface observable induces an electric observable in nonabelian Yang-Mills theory, offering a concrete realization of 't Hooft operators. An application to self-dual Yang-Mills theory is also discussed.
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2. Crystallization in the Winterbottom Shape and Sharp Fluctuation Laws.
2. 温特博特姆形状中的结晶与急剧波动规律PMID:日期:2026-09-27We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring local square-lattice arrangements. An additional interaction term of relative strength couples the particles and the substrate. Our first main result proves crystallization for all , corresponding to the onset of discrete Winterbottom configurations. The proof relies on a stratification technique from [31], characterizing the topology of the bond graph of minimizing configurations. Our second main result concerns fluctuations estimates for . We obtain bounds on the distance between distinct minimizers with the same number of particles, showing a sharp scaling law when is rational, and when is irrational and algebraic. This reveals a genuine substrate-driven effect on fluctuation laws. As a corollary, we derive a discrete-to-continuum convergence of minimizers towards the Winterbottom equilibrium shape in the large-particle limit.
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3. Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with Large Initial Data of Spherical Symmetry.
3. 球对称大初始数据下可压缩Euler-Riesz方程有限能量解的全局存在性与非线性稳定性PMID:日期:2026-08-28The compressible Euler-Riesz equations are fundamental with wide applications in astrophysics, plasma physics, and mathematical biology. In this paper, we are concerned with the global existence and nonlinear stability of finite-energy solutions of the multidimensional Euler-Riesz equations with large initial data of spherical symmetry. We consider both attractive and repulsive interactions for a wide range of and potentials for dimensions larger than or equal to two. This is achieved by the inviscid limit of the solutions of the corresponding Cauchy problem for the Navier-Stokes-Riesz equations. The strong convergence of the vanishing viscosity solutions is achieved through delicate uniform estimates in . It is observed that, even if the attractive potential is super-Coulomb, no concentration is formed near the origin in the inviscid limit. Moreover, we prove that the nonlinear stability of global finite-energy solutions for the Euler-Riesz equations is under a spherically symmetric perturbation around the steady solutions. Unlike the Coulomb case where the potential can be represented locally, the singularity and regularity of the nonlocal radial Riesz potential near the origin require careful analysis, which is a crucial step. We also establish uniform energy estimates of global solutions for not only the Riesz potential but also the limiting end-point case: the logarithmic potential. Finally, unlike the Coulomb case, a Grönwall type estimate is required to overcome the difficulty of the appearance of boundary terms in the sub-Coulomb case and the singularity of the super-Coulomb potential. Furthermore, we prove the nonlinear stability of global finite-energy solutions for the compressible Euler-Riesz equations around steady states by employing concentration compactness arguments. Steady states properties are obtained by variational arguments connecting to recent advances in aggregation-diffusion equations.
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4. Globalization of Perturbative Chern-Simons Theory on the Moduli Space of Flat Connections in the BV Formalism.
4. BV形式体系中平坦联络模空间上微扰Chern-Simons理论的全局化PMID:日期:2026-08-28We study the perturbative path integral of Chern-Simons theory (the effective BV action on zero-modes) in Lorenz gauge, expanded around a (possibly non-acyclic) flat connection, as a family over the smooth irreducible stratum of the moduli space of flat connections. We prove that it is horizontal with respect to the Grothendieck connection up to a BV-exact term. From it, we construct a volume form on -the "global partition function"-whose cohomology class is independent of the metric, and so is a 3-manifold invariant. As an element of the construction, we construct an extension of the perturbative partition function to a nonhomogeneous form on the space of triples consisting of (1) a "kinetic" flat connection around which Chern-Simons action is expanded, (2) a "gauge-fixing" flat connection , (3) a metric . This extension is horizontal with respect to an appropriate Gauss-Manin superconnection (which involves the BV operator as a degree zero component).
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5. Entangled States are Typically Incomparable.
5. 纠缠态通常是不可比较的PMID:日期:2026-08-28Consider a bipartite quantum system, where Alice and Bob jointly possess a pure state . Using local quantum operations on their respective subsystems, and unlimited classical communication, Alice and Bob may be able to transform into another state . Famously, [28] provides a necessary and sufficient algebraic criterion for such a transformation to be possible (namely, the of should the entanglement spectrum of ). In the paper where Nielsen proved this theorem, he conjectured that in the limit of large dimensionality, for pairs of states (according to the natural unitary invariant measure) such a transformation is not possible. That is to say, typical pairs of quantum states are entangled in fundamentally different ways, that cannot be converted to each other via local operations and classical communication. Via Nielsen's theorem, this conjecture can be equivalently stated as a conjecture about majorisation of spectra of random matrices from the so-called . Concretely, let and be independent random matrices whose entries are i.i.d. standard complex Gaussians; then Nielsen's conjecture says that the probability that the spectrum of majorises the spectrum of tends to zero as both and grow large. We prove this conjecture, and we also confirm some related predictions of Cunden et al. [12].
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6. Matrix Product Operator Algebras I: Representations of Weak Hopf Algebras and Projected Entangled Pair States.
6. 矩阵乘积算子代数I：弱Hopf代数的表示与投影纠缠对态PMID:日期:2026-08-28Matrix Product Operators (MPOs) are tensor networks representing operators acting on 1D systems. They model a wide variety of situations, including communication channels with memory effects, quantum cellular automata, mixed states in 1D quantum systems, or holographic boundary models associated to 2D quantum systems. A scenario where MPOs have proven particularly useful is to represent algebras of non-trivial symmetries. Concretely, the boundary of both symmetry protected and topologically ordered phases in 2D quantum systems exhibit symmetries in the form of MPOs. In this paper, we develop a theory of MPOs as representations of algebraic structures. We establish a dictionary between algebra and MPO properties which allows to transfer results between both setups, covering the cases of pre-bialgebras, weak bialgebras, and weak Hopf algebras. We define the notion of pulling-through algebras, which abstracts the minimal requirements needed to define topologically ordered 2D tensor networks from MPO algebras. We show, as one of our main results, that any semisimple pivotal weak Hopf algebra is a pulling-through algebra. We demonstrate the power of this framework by showing that they can be used to construct Kitaev's quantum double models for Hopf algebras solely from an MPO representation of the Hopf algebra, in the exact same way as MPO symmetries obtained from fusion categories can be used to construct Levin-Wen string-net models, and to explain all their topological features; it thus allows to describe both Kitaev and string-net models on the same formal footing.
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7. Equivariant Isomorphism of Quantum Lens Spaces of Low Dimension.
7. 低维量子透镜空间上的等变同构PMID:日期:2026-08-01[中文摘要] 量子透镜空间构成了一类自然且研究充分的非交换空间，借助已臻完善的单位图C*-代数分类理论，可通过代数不变量对其进行分类。我们提出了判定两个量子透镜空间何时等变同构的问题，并在若干基本情形下予以解决。与同构分类不同，在等变情形下我们无法诉诸一个完整的一般分类理论，但通过将现有部分结果与针对性分析相结合，我们能够完全解决维度为3的情形，并在素情形下解决维度为5的情形。我们的结果可以直接用定义量子透镜空间的参数来表述，而在此处有时会呈现出相当复杂的形式，这使我们确信我们的发现背后存在深层的根本解释。我们以计算机实验补充了已完全确立的部分结果，这些实验可能指示前进的方向。
[英文摘要] The quantum lens spaces form a natural and well-studied class of noncommutative spaces which can be subjected to classification using algebraic invariants by drawing on the fully developed classification theory of unital graph -algebras. We introduce the problem of deciding when two quantum lens spaces are equivariantly isomorphic, and solve it in certain basic cases. As opposed to classification up to isomorphism, we can not appeal to a complete general classification theory in the equivariant case, but by combining existing partial results with an ad hoc analysis we can solve the case with dimension 3 completely, and the case with dimension 5 in the prime case. Our results can be formulated directly in terms of the parameters defining the quantum lens spaces, and here occasionally take on a rather complicated form which convinces us that there is a deep underlying explanation for our findings. We complement the fully established partial results with computer experiments that may indicate the way forward.
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8. The Higher Structure of Symmetries of Axion-Maxwell Theory.
PMID:日期:2026-07-09Generalized symmetries of quantum field theories can be characterized by topological defects/operators organized into a higher category. In this paper we consider the Axion-Maxwell field theory in four dimensions and, building on the construction of its topological defects by Choi, Lam, Shao, Hidaka, Nitta and Yokokura, we discuss field theoretical methods to compute some aspects of the higher structure of such category. In particular, we determine explicitly the generalized -symbols for the non-invertible electric 1-form symmetry of the theory. Along the way, we clarify various aspects of the bottom-up worldvolume approach towards the calculus of defects.
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9. On the Past Maximal Development of Near-FLRW Data for the Einstein Scalar-Field Vlasov System.
9. 关于爱因斯坦标量场弗拉索夫系统近FLRW数据的过去最大发展PMID:日期:2026-07-09We show that the maximal globally hyperbolic development of near-FLRW initial data for the Einstein scalar-field Vlasov system exhibits stable Big Bang formation in the collapsing direction. The solutions exhibit stable Kretschmann scalar blow-up, causing the spacetime to become causally geodesically past incomplete, and are asymptotically velocity term dominated. This is the first stability result for the Einstein equations in the collapsing spacetime direction in presence of Vlasov matter that does not rely on any symmetry assumptions. Furthermore, the Vlasov distribution remains close to that of the FLRW solution as a function on the co-mass shell, and so does its momentum support if one assumes it to be close to that of the FLRW distribution initially. On the other hand, the leading order terms in components of the Vlasov energy-momentum tensor exbihit an offset in asymptotic order controlled by the perturbation size, and when viewed on the mass shell, the distribution asymptotically concentrates in certain preferred velocity directions. To ensure that this behaviour is sufficiently mitigated by the scalar field, we crucially exploit a scaling hierarchy between horizontal and vertical derivatives in the commuted Vlasov equation.
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10. Joyce Structures from Quadratic Differentials on the Sphere.
10. 球面上二次微分构造的Joyce结构PMID:日期:2026-07-09Motivated by known examples of Joyce structures on spaces of meromorphic quadratic differentials, we consider the isomonodromic deformations of particular second-order linear ODEs with rational potential. We show the infinitesimal isomonodromic deformations are the kernel of a closed 2-form arising from the intersection pairing of an algebraic curve defined by the potential. This observation enables us to construct Joyce structures on a class of moduli spaces of meromorphic quadratic differentials on the Riemann sphere, and provides a new, geometric description of the hyper-Kähler structures of previously computed examples. We focus on the case of moduli of quadratic differentials with poles of odd orders, where we obtain a complex hyper-Kähler metric with homothetic symmetry. We also include an example corresponding to the moduli space of quadratic differentials with four simple poles, which is a version of the classical isomonodromy problem that leads to the Painlevé VI equation.