发布求助
文献互助 智能选刊 最新文献

Letters in Mathematical Physics最新文献

筛选
英文 中文
Orthosymplectic superoscillator Lax matrices 正交折中超振荡器拉克斯矩阵
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-29 DOI: 10.1007/s11005-024-01789-w
Rouven Frassek, Alexander Tsymbaliuk
{"title":"Orthosymplectic superoscillator Lax matrices","authors":"Rouven Frassek,&nbsp;Alexander Tsymbaliuk","doi":"10.1007/s11005-024-01789-w","DOIUrl":"10.1007/s11005-024-01789-w","url":null,"abstract":"<div><p>We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic <i>R</i>-matrix, generalizing orthogonal and symplectic oscillator type Lax matrices previously constructed by the authors in Frassek (Nuclear Phys B, 2020), Frassek and Tsymbaliuk (Commun Math Phys 392 (2):545–619, 2022), Frassek et al. (Commun Math Phys 400 (1):1–82, 2023). We further establish factorisation formulas among the presented solutions.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Bogoyavlensky–modified KdV hierarchy and toroidal Lie algebra (textrm{sl}^textrm{tor}_{2}) Bogoyavlensky 修正的 KdV 层次结构和环状李代数 $$textrm{sl}^textrm{tor}_{2}$$
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-29 DOI: 10.1007/s11005-024-01798-9
Yi Yang, Jipeng Cheng
{"title":"Bogoyavlensky–modified KdV hierarchy and toroidal Lie algebra (textrm{sl}^textrm{tor}_{2})","authors":"Yi Yang,&nbsp;Jipeng Cheng","doi":"10.1007/s11005-024-01798-9","DOIUrl":"10.1007/s11005-024-01798-9","url":null,"abstract":"<div><p>By principal representation of toroidal Lie algebra <span>(mathrm{sl^{tor}_2})</span>, we construct an integrable system: Bogoyavlensky–modified KdV (B–mKdV) hierarchy, which is <span>((2+1))</span>-dimensional generalization of modified KdV hierarchy. Firstly, bilinear equations of B–mKdV hierarchy are obtained by fermionic representation of <span>(mathrm{sl^{tor}_2})</span> and boson–fermion correspondence, which are rewritten into Hirota bilinear forms. Also Fay-like identities of B–mKdV hierarchy are derived. Then from B–mKdV bilinear equations, we investigate Lax structure, which is another equivalent formulation of B–mKdV hierarchy. Conversely, we also derive B–mKdV bilinear equations from Lax structure. Other equivalent formulations of wave functions and dressing operator are needed when discussing bilinear equations and Lax structure. After that, Miura links between Bogoyavlensky–KdV hierarchy and B–mKdV hierarchy are discussed. Finally, we construct soliton solutions of B–mKdV hierarchy.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140366949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Integrability of ( Phi ^4) matrix model as N-body harmonic oscillator system 作为 N 体谐波振荡器系统的 $$Phi ^4$$ 矩阵模型的可积分性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-25 DOI: 10.1007/s11005-024-01783-2
Harald Grosse, Akifumi Sako
{"title":"Integrability of ( Phi ^4) matrix model as N-body harmonic oscillator system","authors":"Harald Grosse,&nbsp;Akifumi Sako","doi":"10.1007/s11005-024-01783-2","DOIUrl":"10.1007/s11005-024-01783-2","url":null,"abstract":"<div><p>We study a Hermitian matrix model with a kinetic term given by <span>( Tr (H Phi ^2 ))</span>, where <i>H</i> is a positive definite Hermitian matrix, similar as in the Kontsevich Matrix model, but with its potential <span>(Phi ^3)</span> replaced by <span>(Phi ^4)</span>. We show that its partition function solves an integrable Schrödinger-type equation for a non-interacting <i>N</i>-body Harmonic oscillator system.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01783-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140297518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Chiral random band matrices at zero energy 零能量下的手性随机带矩阵
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-25 DOI: 10.1007/s11005-024-01796-x
Jacob Shapiro
{"title":"Chiral random band matrices at zero energy","authors":"Jacob Shapiro","doi":"10.1007/s11005-024-01796-x","DOIUrl":"10.1007/s11005-024-01796-x","url":null,"abstract":"<div><p>We present a special model of random band matrices where, at zero energy, the famous Fyodorov and Mirlin <span>(sqrt{N})</span>-conjecture (Phys Rev Lett 67(18):2405, 1991) can be established very simply.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140297723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Invariant theory of (imath )quantum groups of type AIII AIII 型 $$imath $$ 量子群的不变理论
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-18 DOI: 10.1007/s11005-024-01790-3
Li Luo, Zheming Xu
{"title":"Invariant theory of (imath )quantum groups of type AIII","authors":"Li Luo,&nbsp;Zheming Xu","doi":"10.1007/s11005-024-01790-3","DOIUrl":"10.1007/s11005-024-01790-3","url":null,"abstract":"<div><p>We develop an invariant theory of quasi-split <span>(imath )</span>quantum groups <span>({textbf {U}} _n^imath )</span> of type AIII on a tensor space associated to <span>(imath )</span>Howe dualities. The first and second fundamental theorems for <span>({textbf {U}} _n^imath )</span>-invariants are derived.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 density of 2D critical percolation gaskets and anchored clusters 关于二维临界渗流垫圈和锚定集群的密度
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-15 DOI: 10.1007/s11005-024-01793-0
Federico Camia
{"title":"On the density of 2D critical percolation gaskets and anchored clusters","authors":"Federico Camia","doi":"10.1007/s11005-024-01793-0","DOIUrl":"10.1007/s11005-024-01793-0","url":null,"abstract":"<div><p>We prove a formula, first obtained by Kleban, Simmons and Ziff using conformal field theory methods, for the (renormalized) density of a critical percolation cluster in the upper half-plane “anchored” to a point on the real line. The proof is inspired by the method of images. We also show that more general bulk-boundary connection probabilities have well-defined, scale-covariant scaling limits and prove a formula for the scaling limit of the (renormalized) density of the critical percolation gasket in any domain conformally equivalent to the unit disk.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Calogero–Moser eigenfunctions modulo (p^s) Calogero-Moser 特征函数模块 $$p^s$$。
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-13 DOI: 10.1007/s11005-024-01792-1
Alexander Gorsky, Alexander Varchenko
{"title":"Calogero–Moser eigenfunctions modulo (p^s)","authors":"Alexander Gorsky,&nbsp;Alexander Varchenko","doi":"10.1007/s11005-024-01792-1","DOIUrl":"10.1007/s11005-024-01792-1","url":null,"abstract":"<div><p>In this note we use the Matsuo–Cherednik duality between the solutions to the Knizhnik–Zamolodchikov (KZ) equations and eigenfunctions of Calogero–Moser Hamiltonians to get the polynomial <span>(p^s)</span>-truncation of the Calogero–Moser eigenfunctions at a rational coupling constant. The truncation procedure uses the integral representation for the hypergeometric solutions to KZ equations. The <span>(srightarrow infty )</span> limit to the pure <i>p</i>-adic case has been analyzed in the <span>(n=2)</span> case.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140116211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Matrix product operator algebras II: phases of matter for 1D mixed states 矩阵积算子代数 II：一维混合态的物质相
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-13 DOI: 10.1007/s11005-024-01778-z
Alberto Ruiz-de-Alarcón, José Garre-Rubio, András Molnár, David Pérez-García
{"title":"Matrix product operator algebras II: phases of matter for 1D mixed states","authors":"Alberto Ruiz-de-Alarcón,&nbsp;José Garre-Rubio,&nbsp;András Molnár,&nbsp;David Pérez-García","doi":"10.1007/s11005-024-01778-z","DOIUrl":"10.1007/s11005-024-01778-z","url":null,"abstract":"<div><p>The mathematical classification of topological phases of matter is a crucial step toward comprehending and characterizing the properties of quantum materials. In this study, our focus is on investigating phases of matter in one-dimensional open quantum systems. Our goal is to elucidate the emerging phase diagram of one-dimensional tensor network mixed states that act as renormalization fixed points. These operators hold special significance since, as we prove, they manifest as boundary states of two-dimensional topologically ordered states, encompassing all known two-dimensional topological phases. To achieve their classification we begin by constructing families of such states from C*-weak Hopf algebras, which are algebras with fusion categories as their representations, and we present explicit local fine-graining and coarse-graining quantum channels defining the renormalization procedure. Lastly, we prove that a subset of these states, originating from C*-Hopf algebras, are in the trivial phase.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140116207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Gukov–Pei–Putrov–Vafa conjecture for (SU(N)/{mathbb {Z}}_m) $$SU(N)/{mathbb {Z}}_mafa 的 Gukov-Pei-Putrov-Vafa 猜想
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-13 DOI: 10.1007/s11005-024-01791-2
Sachin Chauhan, Pichai Ramadevi
{"title":"Gukov–Pei–Putrov–Vafa conjecture for (SU(N)/{mathbb {Z}}_m)","authors":"Sachin Chauhan,&nbsp;Pichai Ramadevi","doi":"10.1007/s11005-024-01791-2","DOIUrl":"10.1007/s11005-024-01791-2","url":null,"abstract":"<div><p>In our earlier work, we studied the <span>({hat{Z}})</span>-invariant(or homological blocks) for <i>SO</i>(3) gauge group and we found it to be same as <span>({hat{Z}}^{SU(2)})</span>. This motivated us to study the <span>({hat{Z}})</span>-invariant for quotient groups <span>(SU(N)/{mathbb {Z}}_m)</span>, where <i>m</i> is some divisor of <i>N</i>. Interestingly, we find that <span>({hat{Z}})</span>-invariant is independent of <i>m</i>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140116378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
KP solitons and the Riemann theta functions KP 孤子和黎曼 Theta 函数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-12 DOI: 10.1007/s11005-024-01773-4
Yuji Kodama
{"title":"KP solitons and the Riemann theta functions","authors":"Yuji Kodama","doi":"10.1007/s11005-024-01773-4","DOIUrl":"10.1007/s11005-024-01773-4","url":null,"abstract":"<div><p>We show that the <span>(tau )</span>-functions of the regular KP solitons from the totally nonnegative Grassmannians can be expressed by the Riemann theta functions on singular curves. We explicitly write the parameters in the Riemann theta function in terms of those of the KP soliton. We give a short remark on the Prym theta function on a double covering of singular curves. We also discuss the KP soliton on quasi-periodic background, which is obtained by applying the vertex operators to the Riemann theta function.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01773-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140115946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信