3d superconformal indices and isomorphisms of M2-brane theories

Abstract

We test several expected isomorphisms between the U(N)xU(N) ABJM theory and (SU(N)xSU(N))/Z_N theory including the BLG theory by comparing their superconformal indices. From moduli space analysis, it is expected that this equivalence can hold if and only if the rank N and Chern-Simons level k are coprime. We also calculate the index of the ABJ theory and investigate whether some theories with identical moduli spaces are isomorphic or not.

28 pages, no figure; v2: references added; v3: few typos corrected

References in corpus (13)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Fractional M2-branes
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Membranes on an Orbifold
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• M2-branes, 3-Lie Algebras and Plucker relations
• Exact Results on the ABJM Fermi Gas
• Anomalous radius shift in AdS(4)/CFT(3)
• Exact ABJM Partition Function from TBA
• Duality between N=5 and N=6 Chern-Simons matter theory

Cited by in corpus (7)

• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Zero-form and one-form symmetries of the ABJ and related theories
• Reflection groups and 3d $\mathcal{N}\ge$ 6 SCFTs
• A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in Three Dimensions
• Dualities and flavored indices of M2-brane SCFTs
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Is toric duality a Seiberg-like duality in (2+1)-d ?