Superconformal Indices for Orbifold Chern-Simons Theories
Jaehyung Choi, Sangmin Lee, Jaewon Song
TL;DR
This paper computes superconformal indices for certain 3D N=4,5 Chern-Simons theories and confirms their consistency with supergravity predictions on orbifold backgrounds, highlighting the importance of twisted sector contributions.
Contribution
It provides explicit calculations of superconformal indices for orbifold Chern-Simons theories and demonstrates their agreement with supergravity, including twisted sector effects.
Findings
Perfect agreement between field theory and supergravity indices at large N and k.
Twisted sector contributions are essential for matching the indices.
Analysis includes the dual ABJM proposal.
Abstract
We calculate the superconformal indices of recently discovered three-dimensional N=4,5 Chern-Simons-matter theories and compare them with the corresponding indices of supergravity on AdS4 times orbifolds of S7. We find perfect agreement in the large N and large k limit, provided that the twisted sector contributions at the fixed loci of the orbifolds are properly taken into account. We also discuss the index for the so-called "dual ABJM" proposal.
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