{"title":"Phases and triple (multiple) point: Critical phenomena around the AD singularity","authors":"H. Itoyama , R. Yoshioka","doi":"10.1016/j.nuclphysb.2024.116765","DOIUrl":null,"url":null,"abstract":"<div><div>Continuing with our previous series of work, we present a case study of the critical phenomena around Argyres-Douglas singularity of <span><math><mi>N</mi><mo>=</mo><mn>2</mn></math></span> susy made at <span><math><mo>(</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>4</mn><mi>k</mi><mo>−</mo><mn>1</mn></mrow></msub><mo>)</mo><mo>,</mo><mi>k</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn></math></span> realized by one-unitary matrix model. We determine the phase diagram, which is recast into LEEA of <span><math><mi>N</mi><mo>=</mo><mn>2</mn></math></span>, 4d gauge theory by the 0d-4d connection. There are three distinct phases, each corresponding to an eigenvalue distribution with 0, 1, and 2 gaps. These form an entire phase diagram with a triple point. Examining the behavior of the planar free energy, we show, among other things, that the transition line between 1- and 2-gap phases ending at the triple point is the <span><math><mi>k</mi><mo>=</mo><mn>2</mn></math></span> multicritical one.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1010 ","pages":"Article 116765"},"PeriodicalIF":2.5000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0550321324003316","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
Continuing with our previous series of work, we present a case study of the critical phenomena around Argyres-Douglas singularity of susy made at realized by one-unitary matrix model. We determine the phase diagram, which is recast into LEEA of , 4d gauge theory by the 0d-4d connection. There are three distinct phases, each corresponding to an eigenvalue distribution with 0, 1, and 2 gaps. These form an entire phase diagram with a triple point. Examining the behavior of the planar free energy, we show, among other things, that the transition line between 1- and 2-gap phases ending at the triple point is the multicritical one.
期刊介绍:
Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.