Communications in Mathematical Physics最新文献

Power Counting in the Spectral Action Matrix Model 谱作用矩阵模型中的功率计数

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05691-5

Eva-Maria Hekkelman, Teun D. H. van Nuland, Jesse Reimann

引用次数: 0

Quivers with Involutions and Shifted Twisted Yangians via Coulomb Branches 经库仑分支的有对合的颤振和移位的扭曲杨氏

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05770-7

Yaolong Shen, Changjian Su, Rui Xiong

引用次数: 0

Clustering Theorem for Bose–Hubbard Class Gibbs States Bose-Hubbard类Gibbs态的聚类定理

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05730-1

Xin-Hai Tong, Tomotaka Kuwahara, Zongping Gong

引用次数: 0

Potential Hessian Ascent: The Sherrington–Kirkpatrick Model 潜在的黑森崛起：谢林顿-柯克帕特里克模型

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05681-7

David Jekel, Juspreet Singh Sandhu, Jonathan Shi

{"title":"Potential Hessian Ascent: The Sherrington–Kirkpatrick Model","authors":"David Jekel, Juspreet Singh Sandhu, Jonathan Shi","doi":"10.1007/s00220-026-05681-7","DOIUrl":"10.1007/s00220-026-05681-7","url":null,"abstract":"<div>We present the first iterative spectral algorithm to find near-optimal solutions for the Sherrington–Kirkpatrick model, which is a random quadratic objective over the discrete hypercube, resolving a conjecture of Subag [1]. The algorithm is a randomized Hessian ascent in the solid cube, with the objective modified by subtracting an instance-independent potential function [2, 3]. Using tools from free probability theory, we construct an approximate projector into the top eigenspaces of the Hessian, which serves as the covariance matrix for the random increments. With high probability, the iterates’ empirical distribution approximates the solution to the primal version of the Auffinger-Chen SDE [4]. The per-iterate change in the modified objective is bounded via a Taylor expansion, where the derivatives are controlled through Gaussian concentration bounds and smoothness properties of a semiconcave regularization of the Fenchel–Legendre dual to the Parisi PDE [5]. These results lay the groundwork for (possibly) demonstrating low-degree sum-of-squares certificates over high-entropy step distributions for a relaxed version of the Parisi formula [6, Open Question 1.8].</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 12","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149310152","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 Worldsheet Skein D-module and Basic Curves on Lagrangian Fillings of the Hopf Link Conormal Hopf环法线拉格朗日填充上的Worldsheet Skein d模和基本曲线

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05775-2

Tobias Ekholm, Pietro Longhi, Lukas Nakamura

{"title":"The Worldsheet Skein D-module and Basic Curves on Lagrangian Fillings of the Hopf Link Conormal","authors":"Tobias Ekholm, Pietro Longhi, Lukas Nakamura","doi":"10.1007/s00220-026-05775-2","DOIUrl":"10.1007/s00220-026-05775-2","url":null,"abstract":"<div>HOMFLYPT polynomials of knots in the 3-sphere in symmetric representations satisfy recursion relations. Their geometric origin is holomorphic curves at infinity on knot conormals that determine a D-module with characteristic variety the Legendrian knot conormal augmention variety and with the recursion relations as operator polynomial generators [1, 2]. We consider skein lifts of recursions and D-modules corresponding to skein valued open curve counts [3] that encode HOMFLYPT polynomials colored by arbitrary partitions. We define a worldsheet skein module which is the universal target for skein curve counts and a corresponding D-module. We then consider the concrete example of the Legendrian conormal of the Hopf link. We show that the worldsheet skein D-module for the Hopf link conormal is generated by three operator polynomials that annihilate the skein valued partition function for any choice of Lagrangian filling and recursively determine it uniquely. We find Lagrangian fillings for any point in the augmentation variety and show that their skein valued partition functions admit quiver-like expansions where all holomorphic curves are generated by a small number of basic holomorphic disks and annuli and their multiple covers.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 12","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05775-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149310157","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

Affinization of Shifted Quantum Affine (mathfrak {gl}_2) 位移量子仿射的仿射 (mathfrak {gl}_2)

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05766-3

B. Feigin, M. Jimbo, E. Mukhin

引用次数: 0

Orbital Stability of Benjamin–Ono Multisolitons Benjamin-Ono多孤子的轨道稳定性

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05733-y

Rana Badreddine, Rowan Killip, Monica Vişan

引用次数: 0

Quasi-multiplicativity and Regularity for Metric Graph Gaussian Free Fields 度量图高斯自由场的拟乘法性和正则性

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05772-5

Jian Ding, Zhenhao Cai

{"title":"Quasi-multiplicativity and Regularity for Metric Graph Gaussian Free Fields","authors":"Jian Ding, Zhenhao Cai","doi":"10.1007/s00220-026-05772-5","DOIUrl":"10.1007/s00220-026-05772-5","url":null,"abstract":"<div>We prove quasi-multiplicativity for critical level-sets of Gaussian free fields (GFF) on the metric graphs (widetilde{mathbb {Z}}^d) ((dge 3)). Specifically, we study the probability of connecting two general sets located on opposite sides of an annulus with inner and outer radii both of order N, where additional constraints are imposed on the distance of each set to the annulus. We show that for all (d ge 3) except the critical dimension (d=6), this probability is of the same order as (N^{(6-d)wedge 0}) (serving as a correction factor) times the product of the two probabilities of connecting each set to the closer boundary of this annulus. The analogue for (d=6) is also derived, although the upper and lower bounds differ by a divergent factor of (N^{o(1)}). Notably, it was conjectured by Basu and Sapozhnikov [3] that quasi-multiplicativity without correction factor holds for Bernoulli percolation on (mathbb {Z}^d) when (3le d<6) and fails when (d>6). In high dimensions (i.e., (d>6)), taking into account the similarity between the metric graph GFF and Bernoulli percolation (which was proposed by Werner [19] and later partly confirmed by the authors (2024)), our result provides support to the conjecture that Bernoulli percolation exhibits quasi-multiplicativity with correction factor (N^{6-d}). A crucial application of quasi-multiplicativity is proving the existence of the incipient infinite cluster (IIC), which has been completed by Basu and Sapozhnikov [3] for Bernoulli percolation for (3le d<6). Inspired by their work, in a companion paper, we also utilize quasi-multiplicativity to establish the IIC for metric graph GFFs, for all (dge 3) except the critical dimension 6.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 12","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05772-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149310161","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

Superperiods and Superstring Measure Near the Boundary of the Moduli Space of Supercurves 超曲线模空间边界附近的超周期和超弦测度

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05763-6

Giovanni Felder, David Kazhdan, Alexander Polishchuk

引用次数: 0

Quantum Isometry Groups of Log-Laplacians on Cuntz–Krieger Algebras Cuntz-Krieger代数上的对数拉普拉斯量子等距群

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-10-28 DOI: 10.1007/s00220-026-05756-5

Amaury Freslon, Dimitris M. Gerontogiannis, Adam Skalski

引用次数: 0