4.4 Article

Dualities and flavored indices of M2-brane SCFTs

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP10(2022)023

关键词

Duality in Gauge Field Theories; M-Theory; Supersymmetric Gauge Theory

资金

  1. JSPS KAKENHI [JP18K13543]
  2. Korea Institute for Advanced Study [PG084301]
  3. National Research Foundation of Korea [PG084301] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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In this study, we explore various conjectural dual descriptions of a stack of M2-branes in M-theory and propose several new dualities of the M2-brane SCFTs by analyzing flavored supersymmetric indices. The mappings of local operators, Coulomb, Higgs, and mixed branch operators as well as global symmetries under the dualities are obtained from the precise matching of the indices. We also find closed form expressions and more useful expressions for certain indices, which are significant for further research.
We study various conjectural dual descriptions of a stack of M2-branes in M-theory including ADHM, ABJ(M), BLG, discrete gauge theories and quiver Chern-Simons (CS) theories and propose several new dualities of the M2-brane SCFTs by analyzing flavored supersymmetric indices in detail. The mapping of local operators, Coulomb, Higgs and mixed branch operators as well as global symmetries under the dualities are obtained from the precise matching of the indices. Furthermore, we find closed form expressions for the Coulomb limit of the indices of the U(N) ADHM theory and the dual quiver CS theory for arbitrary N and propose a refined generating function for plane partitions with trace N. For the quiver CS theories we also find an infinite-sum expression for the Higgs limit of the indices which is more useful than the original expression.

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