{"title":"Asymptotic Degeneracies of M2-Brane SCFTs","authors":"Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki","doi":"10.1007/s00220-024-05031-5","DOIUrl":null,"url":null,"abstract":"<p>We study the asymptotic growth of the degeneracy of the BPS local operators with scaling dimension <i>n</i>/2 in the three-dimensional superconformal field theories describing <i>N</i> M2-branes. From the large <i>N</i> supersymmetric indices we obtain the asymptotic formulas for degeneracies of the M2-brane SCFTs according to the Meinardus theorem. We observe an intriguing universal <span>\\(n^{2/3}\\)</span> growth of the degeneracies in various theories of M2-brane SCFTs. We also determine the coefficients of <span>\\(n^{2/3}\\)</span> growth as well as further corrections in these theories explicitly.</p>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s00220-024-05031-5","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We study the asymptotic growth of the degeneracy of the BPS local operators with scaling dimension n/2 in the three-dimensional superconformal field theories describing N M2-branes. From the large N supersymmetric indices we obtain the asymptotic formulas for degeneracies of the M2-brane SCFTs according to the Meinardus theorem. We observe an intriguing universal \(n^{2/3}\) growth of the degeneracies in various theories of M2-brane SCFTs. We also determine the coefficients of \(n^{2/3}\) growth as well as further corrections in these theories explicitly.
期刊介绍:
The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.