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Communications in Mathematical Physics最新文献

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Homological Blocks with Simple Lie Algebras and Witten–Reshetikhin–Turaev Invariants 具有简单李代数的同调块和Witten-Reshetikhin-Turaev不变量
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05646-w
Yuya Murakami, Yuji Terashima
{"title":"Homological Blocks with Simple Lie Algebras and Witten–Reshetikhin–Turaev Invariants","authors":"Yuya Murakami,&nbsp;Yuji Terashima","doi":"10.1007/s00220-026-05646-w","DOIUrl":"10.1007/s00220-026-05646-w","url":null,"abstract":"<div><p>In this article, for any Seifert fibered homology 3-sphere, we introduce homological blocks with simple Lie algebra and prove that its radial limits are identified with the Witten–Reshetikhin–Turaev invariants. To prove it, we develop an asymptotic formula and a vanishing result of asymptotic coefficients.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173064","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
Stable Self-similar Singularity Formation for Infinite Energy Solutions of the Incompressible Porous Medium Equations 不可压缩多孔介质方程无穷能量解的稳定自相似奇点形成
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05688-0
Charles Collot, Christophe Prange, Jin Tan
{"title":"Stable Self-similar Singularity Formation for Infinite Energy Solutions of the Incompressible Porous Medium Equations","authors":"Charles Collot,&nbsp;Christophe Prange,&nbsp;Jin Tan","doi":"10.1007/s00220-026-05688-0","DOIUrl":"10.1007/s00220-026-05688-0","url":null,"abstract":"<div><p>We consider a special class of infinite energy solutions to the inviscid incompressible porous medium equations (IPM), introduced in Castro–Córdoba–Gancedo–Orive [6]. The (IPM) equations then reduce to a one-dimensional nonlocal nonlinear equation, for which an explicit self-similar blow-up solution is found in [6]. We show the stability of this explicit blow-up solution by smooth enough perturbations, and identity a sharp regularity threshold below which it is unstable. The heart of our proof is a change of variables that transforms the study of finite time blow-up solutions, to the study of global-in-time solutions to the Proudman–Johnson equation, which is a reduced equation that appears for special classes of solutions of the two-dimensional Euler equations, and of the inviscid primitive equations (or hydrostatic Euler equations). Our main result is in fact the asymptotic stability with decay estimates for a family of steady states of this reduced equation. It thus also implies the corresponding stability of steady states for the associated classes of solutions to the Euler equations and inviscid primitive equations.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173065","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
Additivity of Quantum Relative Entropies as a Single-Copy Criterion 作为单拷贝准则的量子相对熵的可加性
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05653-x
Salman Beigi, Roberto Rubboli, Marco Tomamichel
{"title":"Additivity of Quantum Relative Entropies as a Single-Copy Criterion","authors":"Salman Beigi,&nbsp;Roberto Rubboli,&nbsp;Marco Tomamichel","doi":"10.1007/s00220-026-05653-x","DOIUrl":"10.1007/s00220-026-05653-x","url":null,"abstract":"<div><p>The fundamental goal of information theory is to characterize complex operational tasks using efficiently computable information quantities, Shannon’s capacity formula being the prime example of this. However, many tasks in quantum information can only be characterized by regularized entropic measures that are often not known to be computable and for which efficient approximations are scarce. It is thus of fundamental importance to understand when regularization is not needed, opening the door to an efficiently computable characterization based on additive quantities. Here, we demonstrate that for a large class of problems, the question of whether regularization is needed or not can be determined at the single-copy level. Specifically, we demonstrate that regularization of the Umegaki relative entropy, along with related quantities such as the Petz and sandwiched relative entropies, is not needed if and only if a single-copy optimizer satisfies a certain property. These problems include hypothesis testing with arbitrarily varying hypotheses as well as quantum resource theories used to derive fundamental bounds for entanglement and magic state distillation. We derive the Stein, Chernoff, and Hoeffding exponents for these problems and establish necessary and sufficient conditions for their additivity, while also presenting partial results for the strong converse exponent.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173063","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 Tropical Amplituhedron 热带振幅面体
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05592-7
Evgeniya Akhmedova, Ran J. Tessler
{"title":"The Tropical Amplituhedron","authors":"Evgeniya Akhmedova,&nbsp;Ran J. Tessler","doi":"10.1007/s00220-026-05592-7","DOIUrl":"10.1007/s00220-026-05592-7","url":null,"abstract":"<div><p>The Amplituhedron is a subspace of the Grassmannian that was recently defined by Arkani-Hamed and Trnka in their study of scattering amplitudes in planar <span>(mathcal {N}=4)</span> super Yang Mills theory, and was the subject of many papers in the last decade. In this work we define a tropical analog of the amplituhedron, and develop techniques to address it. We prove that many of the key properties of the amplituhedron also hold in this simpler, piecewise linear, model.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05592-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172997","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
The Neveu-Schwarz Group and Schwarz’s Extended Super Mumford Form Neveu-Schwarz群和Schwarz的扩展超级Mumford形式
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-025-05534-9
Katherine A. Maxwell, Alexander A. Voronov
{"title":"The Neveu-Schwarz Group and Schwarz’s Extended Super Mumford Form","authors":"Katherine A. Maxwell,&nbsp;Alexander A. Voronov","doi":"10.1007/s00220-025-05534-9","DOIUrl":"10.1007/s00220-025-05534-9","url":null,"abstract":"<div><p>In 1987, Albert Schwarz suggested a formula which extends the super Mumford form from the moduli space of super Riemann surfaces into the super Sato Grassmannian. His formula is a remarkably simple combination of super tau functions. We compute the Neveu-Schwarz action on super tau functions, and show that Schwarz’s extended Mumford form is invariant under the super Heisenberg-Neveu-Schwarz action, which strengthens Schwarz’s proposal that a locus within the Grassmannian can serve as a universal moduli space with applications to superstring theory. Along the way, we construct the Neveu-Schwarz, super Witt, and super Heisenberg formal groups.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173047","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
Dissipation Concentration in Two-Dimensional Fluids 二维流体中的耗散浓度
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05662-w
Luigi De Rosa, Jaemin Park
{"title":"Dissipation Concentration in Two-Dimensional Fluids","authors":"Luigi De Rosa,&nbsp;Jaemin Park","doi":"10.1007/s00220-026-05662-w","DOIUrl":"10.1007/s00220-026-05662-w","url":null,"abstract":"<div><p>We study the dissipation measure arising in the inviscid limit of two-dimensional incompressible fluids. It is proved that the dissipation is Lebesgue in time and, for almost every time, it is absolutely continuous with respect to the defect measure of strong compactness of the solutions. When the initial vorticity is a measure, the dissipation is proved to be absolutely continuous with respect to a “quadratic” space-time vorticity measure. This results into the trivial measure if the initial vorticity has singular part of distinguished sign, or a spatially purely atomic measure if wild oscillations in time are ruled out. In fact, the dynamics at the Batchelor–Kraichnan dissipative scale is the only relevant one, in turn offering new criteria for anomalous dissipation. We provide kinematic examples highlighting the strengths and the limitations of our approach. Quantitative rates, dissipation life-span and steady fluids are also investigated.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05662-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172995","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
From Homotopy Rota–Baxter Algebras to Pre-Calabi–Yau and Homotopy Double Poisson Algebras 从同伦Rota-Baxter代数到Pre-Calabi-Yau和同伦双泊松代数
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05666-6
Yufei Qin, Kai Wang
{"title":"From Homotopy Rota–Baxter Algebras to Pre-Calabi–Yau and Homotopy Double Poisson Algebras","authors":"Yufei Qin,&nbsp;Kai Wang","doi":"10.1007/s00220-026-05666-6","DOIUrl":"10.1007/s00220-026-05666-6","url":null,"abstract":"<div><p>In this paper, we investigate pre-Calabi–Yau algebras and homotopy double Poisson algebras arising from homotopy Rota–Baxter structures. We introduce the notion of cyclic homotopy Rota–Baxter algebras, a class of homotopy Rota–Baxter algebras endowed with additional cyclic symmetry, and present a construction of such structures via a process called cyclic completion. We further introduce the concept of interactive pairs, consisting of two differential graded algebras-designated as the acting algebra and the base algebra-interacting through compatible module structures. We prove that if the acting algebra carries a suitable cyclic homotopy Rota–Baxter structure, then the base algebra inherits a natural pre-Calabi–Yau structure. Using the correspondence established by Fernández and Herscovich between pre-Calabi–Yau algebras and homotopy double Poisson algebras, we describe the resulting homotopy double Poisson structure on the base algebra in terms of homotopy Rota–Baxter algebra structure. In particular, we prove that any differential graded module over a differential graded algebra endowed with an ultracyclic (resp. cyclic) homotopy Rota–Baxter structure naturally inherits a (resp. cyclic) homotopy double Lie algebra structure.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172990","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
Radiative Vlasov-Maxwell Equations 辐射弗拉索夫-麦克斯韦方程组
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05661-x
Peter Constantin, Hezekiah Grayer II
{"title":"Radiative Vlasov-Maxwell Equations","authors":"Peter Constantin,&nbsp;Hezekiah Grayer II","doi":"10.1007/s00220-026-05661-x","DOIUrl":"10.1007/s00220-026-05661-x","url":null,"abstract":"<div><p>The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle energy but these forces are not divergence-free in momentum space, which has an effect of concentration near zero momentum. We prove unconditional global regularity of solutions for a class of Radiative Vlasov-Maxwell equations with large initial data.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172994","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 Trace Map on Chiral Weyl Algebras 手性Weyl代数上的迹映射
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05684-4
Zhengping Gui
{"title":"A Trace Map on Chiral Weyl Algebras","authors":"Zhengping Gui","doi":"10.1007/s00220-026-05684-4","DOIUrl":"10.1007/s00220-026-05684-4","url":null,"abstract":"<div><p>We construct a trace map on the chiral homology of the chiral Weyl algebra for any compact smooth Riemann surface. Our trace map can be viewed as a chiral version of the deformed HKR quasi-isomorphism. This also provides a mathematically rigorous construction of the correlation functions for symplectic bosons in physics. We calculate some examples of trace maps with one insertion and find that they are closely related to the variation of analytic torsion for holomorphic bundles on compact Riemann surfaces.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172996","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
(hbox {W}^*)-Superrigidity for Discrete Quantum Groups (hbox {W}^*)-离散量子群的超刚性
IF 2.6 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-06-06 DOI: 10.1007/s00220-026-05658-6
Milan Donvil, Stefaan Vaes
{"title":"(hbox {W}^*)-Superrigidity for Discrete Quantum Groups","authors":"Milan Donvil,&nbsp;Stefaan Vaes","doi":"10.1007/s00220-026-05658-6","DOIUrl":"10.1007/s00220-026-05658-6","url":null,"abstract":"<div><p>A discrete group <i>G</i> is called <span>(hbox {W}^*)</span>-superrigid if the group <i>G</i> can be entirely recovered from the ambient group von Neumann algebra <i>L</i>(<i>G</i>). We introduce an analogous notion for discrete quantum groups. We prove that this strengthened quantum <span>(hbox {W}^*)</span>-superrigidity property holds for a natural family of co-induced discrete quantum groups. We also prove that, remarkably, most existing families of <span>(hbox {W}^*)</span>-superrigid groups are not quantum <span>(hbox {W}^*)</span>-superrigid.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173059","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
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