{"title":"SO/Sp Chern-Simons Gauge Theories at Large N, SO/Sp Penner Models and the Gauge Group Volumes","authors":"N. Chair, M. Dalabeeh","doi":"10.1143/PTP.127.179","DOIUrl":null,"url":null,"abstract":"We construct a deformed SO/Sp Penner generating function responsible for the close connection between SO/Sp Chern-Simons gauge theories at large N and the SO/Sp Penner models. This construction is then shown to follow from a sector of a Chern-Simons gauge theory with coupling constant λ. The free energy and its continuum limit of the perturbative Chern-Simons gauge theory are obtained from the Penner model. Finally, asymptotic expansions for the logarithm of the gauge group volumes are given for every genus g ≥ 0a nd shown to be equivalent to the continuum limits of the SO/Sp Chern-Simons gauge theories and the SO/Sp Penner models. Subject Index: 013, 103, 105, 127, 183","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"127 1","pages":"179-198"},"PeriodicalIF":0.0000,"publicationDate":"2012-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.127.179","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress of Theoretical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1143/PTP.127.179","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We construct a deformed SO/Sp Penner generating function responsible for the close connection between SO/Sp Chern-Simons gauge theories at large N and the SO/Sp Penner models. This construction is then shown to follow from a sector of a Chern-Simons gauge theory with coupling constant λ. The free energy and its continuum limit of the perturbative Chern-Simons gauge theory are obtained from the Penner model. Finally, asymptotic expansions for the logarithm of the gauge group volumes are given for every genus g ≥ 0a nd shown to be equivalent to the continuum limits of the SO/Sp Chern-Simons gauge theories and the SO/Sp Penner models. Subject Index: 013, 103, 105, 127, 183
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