Communications in Mathematical Physics最新文献_第7页

Asymmetry of Curl Eigenfields Solving Woltjer’s Variational Problem 旋度本征场的不对称性求解Woltjer变分问题

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05575-8

Daniel Peralta-Salas, David Perrella, David Pfefferlé

引用次数: 0

Viscous shock fluctuations in KPZ KPZ的粘性激波波动

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05561-0

Alexander Dunlap, Evan Sorensen

{"title":"Viscous shock fluctuations in KPZ","authors":"Alexander Dunlap, Evan Sorensen","doi":"10.1007/s00220-026-05561-0","DOIUrl":"10.1007/s00220-026-05561-0","url":null,"abstract":"<div>We study “V-shaped” solutions to the KPZ equation, those having opposite asymptotic slopes (theta ) and (-theta ), with (theta >0), at positive and negative infinity, respectively. Answering a question of Janjigian, Rassoul-Agha, and Seppäläinen, we show that the spatial increments of V-shaped solutions cannot be statistically stationary in time. This completes the classification of statistically time-stationary spatial increments for the KPZ equation by ruling out the last case left by those authors. To show that these V-shaped time-stationary measures do not exist, we study the location of the corresponding “viscous shock,” which, roughly speaking, is the location of the bottom of the V. We describe the limiting rescaled fluctuations, and in particular show that the fluctuations of the shock location are not tight, for both stationary and flat initial data. We also show that if the KPZ equation is started with V-shaped initial data, then the long-time limits of the time-averaged laws of the spatial increments of the solution are mixtures of the laws of the spatial increments of (xmapsto B(x)+theta x) and (xmapsto B(x)-theta x), where B is a standard two-sided Brownian motion.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147375234","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

Generalized Tube Algebras, Symmetry-Resolved Partition Functions, and Twisted Boundary States 广义管代数、对称分解配分函数和扭曲边界态

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-025-05543-8

Yichul Choi, Brandon C. Rayhaun, Yunqin Zheng

{"title":"Generalized Tube Algebras, Symmetry-Resolved Partition Functions, and Twisted Boundary States","authors":"Yichul Choi, Brandon C. Rayhaun, Yunqin Zheng","doi":"10.1007/s00220-025-05543-8","DOIUrl":"10.1007/s00220-025-05543-8","url":null,"abstract":"<div>We introduce a class of generalized tube algebras which describe how finite, non-invertible global symmetries of bosonic 1+1d QFTs act on operators which sit at the intersection point of a collection of boundaries and interfaces. We develop a 2+1d symmetry topological field theory (SymTFT) picture of boundaries and interfaces which, among other things, allows us to deduce the representation theory of these algebras. In particular, we initiate the study of a character theory, echoing that of finite groups, and demonstrate how many representation-theoretic quantities can be expressed as partition functions of the SymTFT on various backgrounds, which in turn can be evaluated explicitly in terms of generalized half-linking numbers. We use this technology to explain how the torus and annulus partition functions of a 1+1d QFT can be refined with information about its symmetries. We are led to a vast generalization of Ishibashi states in CFT: to any multiplet of conformal boundary conditions which transform into each other under the action of a symmetry, we associate a collection of generalized Ishibashi states, in terms of which the twisted sector boundary states of the theory and all of its orbifolds can be obtained as linear combinations. We derive a generalized Verlinde formula involving the characters of the boundary tube algebra which ensures that our formulas for the twisted sector boundary states respect open-closed duality. Our approach does not rely on rationality or the existence of an extended chiral algebra; however, in the special case of a diagonal RCFT with chiral algebra V and modular tensor category (mathcal {C}), our formalism produces explicit closed-form expressions—in terms of the F-symbols and R-matrices of (mathcal {C}), and the characters of V—for the twisted Cardy states, and the torus and annulus partition functions decorated by Verlinde lines.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147375235","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

Blow-up Dynamics for Radial Self-Dual Chern–Simons–Schrödinger Equation with Prescribed Asymptotic Profile 具有规定渐近轮廓的径向自对偶Chern-Simons-Schrödinger方程的爆破动力学

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05577-6

Kihyun Kim, Soonsik Kwon, Sung-Jin Oh

{"title":"Blow-up Dynamics for Radial Self-Dual Chern–Simons–Schrödinger Equation with Prescribed Asymptotic Profile","authors":"Kihyun Kim, Soonsik Kwon, Sung-Jin Oh","doi":"10.1007/s00220-026-05577-6","DOIUrl":"10.1007/s00220-026-05577-6","url":null,"abstract":"<div>We construct finite energy blow-up solutions for the radial self-dual Chern–Simons–Schrödinger equation with a continuum of blow-up rates. Our result stands in stark contrast to the rigidity of blow-up of (H^{3}) solutions proved by the first author for equivariant index (m ge 1), where the soliton-radiation interaction is too weak to admit the present blow-up scenarios. It is optimal (up to an endpoint) in terms of the range of blow-up rates and the regularity of the asymptotic profiles, in view of the authors’ previous proof of (H^{1}) soliton resolution for the self-dual Chern–Simons–Schrödinger equation in any equivariance class. Our approach is a backward construction combined with modulation analysis, starting from prescribed asymptotic profiles and deriving the corresponding blow-up rates from their strong interaction with the soliton. In particular, our work may be seen as an adaptation of the method of Jendrej–Lawrie–Rodriguez (developed for energy critical equivariant wave maps) to the Schrödinger case. However, the Schrödinger nature of the equation (in particular, the lack of finite speed of propagation) and the optimal range (up to the (H^{1})-endpoint) of our blow-up construction give rise to new challenges. Notably, the construction of (approximate) radiation from the prescribed asymptotic profile is one of our key novelties and might be of independent interest.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147375246","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

Any Topological Recursion on a Rational Spectral Curve is KP Integrable 在有理谱曲线上的任何拓扑递归都是KP可积的

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05566-9

A. Alexandrov, B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin

引用次数: 0

N =1 Super Virasoro Tensor Categories N =1个超级Virasoro张量类别

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05564-x

Thomas Creutzig, Robert McRae, Florencia Orosz Hunziker, Jinwei Yang

{"title":"N =1 Super Virasoro Tensor Categories","authors":"Thomas Creutzig, Robert McRae, Florencia Orosz Hunziker, Jinwei Yang","doi":"10.1007/s00220-026-05564-x","DOIUrl":"10.1007/s00220-026-05564-x","url":null,"abstract":"<div>We show that the category of (C_1)-cofinite modules for the universal (N=1) super Virasoro vertex operator superalgebra (mathcal {S}(c,0)) at any central charge c is locally finite and admits the vertex algebraic braided tensor category structure of Huang–Lepowsky–Zhang. For central charges (c^{mathfrak {ns}}(t)=frac{15}{2}-3(t+t^{-1})) with (tnotin mathbb {Q}), we show that this tensor category is semisimple, rigid, and slightly degenerate, and we determine its fusion rules. For central charge (c^{mathfrak {ns}}(1)=frac{3}{2}), we show that this tensor category is rigid and that its simple modules have the same fusion rules as (textrm{Rep},mathfrak {osp}(1vert 2)), in agreement with earlier fusion rule calculations of Milas. Finally, for the remaining central charges (c^{mathfrak {ns}}(t)) with (tin mathbb {Q}^times ), we show that the simple (mathcal {S}(c^{mathfrak {ns}}(t),0))-module (mathcal {S}_{2,2}) of lowest conformal weight (h^{mathfrak {ns}}_{2,2}(t)=frac{3(t-1)^2}{8t}) is rigid and self-dual, except possibly when (t^{pm 1}) is a negative integer or when (c^{mathfrak {ns}}(t)) is the central charge of a rational (N=1) superconformal minimal model. As (mathcal {S}_{2,2}) is expected to generate the category of (C_1)-cofinite (mathcal {S}(c^{mathfrak {ns}}(t),0))-modules under fusion, rigidity of (mathcal {S}_{2,2}) is the first key step to proving rigidity of this category for general (tin mathbb {Q}^times ).</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05564-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147375241","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

Asymptotics for Resolutions and Smoothings of Calabi-Yau Conifolds Calabi-Yau Conifolds的分解和平滑的渐近性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05578-5

Abdou Oussama Benabida

引用次数: 0

Quantum Cellular Automata and Categorical Dualities of Spin Chains 量子元胞自动机与自旋链的范畴对偶性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05571-y

Corey Jones, Kylan Schatz, Dominic J. Williamson

{"title":"Quantum Cellular Automata and Categorical Dualities of Spin Chains","authors":"Corey Jones, Kylan Schatz, Dominic J. Williamson","doi":"10.1007/s00220-026-05571-y","DOIUrl":"10.1007/s00220-026-05571-y","url":null,"abstract":"<div>Dualities play a central role in the study of quantum spin chains, providing insight into the structure of quantum phase diagrams and phase transitions. In this work, we study categorical dualities, which are defined as bounded-spread isomorphisms between algebras of symmetry-respecting local operators on a spin chain. We consider generalized global symmetries that correspond to unitary fusion categories, which are represented by matrix-product operator algebras. A fundamental question about dualities is whether they can be extended to quantum cellular automata on the larger algebra generated by all local operators in the the unit matrix-product operator sector. For on-site representations of Hopf algebra symmetries, this larger algebra is the usual tensor product quasi-local algebra. We present a solution to the extension problem using the machinery of Doplicher–Haag–Roberts bimodules. Our solution provides a crisp categorical criterion for when an extension of a duality exists. We show that the set of possible extensions form a torsor over the invertible objects in the relevant symmetry category. As a corollary, we obtain a classification result concerning dualities in the group case.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05571-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147375245","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 Multiplicities in Length Spectra of Semi-Arithmetic Hyperbolic Surfaces 半算术双曲曲面长度谱的多重性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05581-w

Mikhail Belolipetsky, Gregory Cosac, Cayo Dória, Gisele Teixeira Paula

引用次数: 0

Conservative Stochastic PDE and Fluctuations of the Symmetric Simple Exclusion Process 对称简单不相容过程的保守随机偏微分方程和波动

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05587-4

Nicolas Dirr, Benjamin Fehrman, Benjamin Gess

引用次数: 0