{"title":"Sigma models as Gross–Neveu models. II","authors":"D. V. Bykov","doi":"10.1134/s0040577923120048","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We summarize some (mostly geometric) facts underlying the relation between <span>\\(2\\)</span>D integrable sigma models and generalized Gross–Neveu models, emphasizing connections to the theory of nilpotent orbits, Springer resolutions, and quiver varieties. This is meant to shed light on the general setup when this correspondence holds. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1134/s0040577923120048","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We summarize some (mostly geometric) facts underlying the relation between \(2\)D integrable sigma models and generalized Gross–Neveu models, emphasizing connections to the theory of nilpotent orbits, Springer resolutions, and quiver varieties. This is meant to shed light on the general setup when this correspondence holds.
期刊介绍:
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.