Superconformal index for large N quiver Chern-Simons theories

Abstract

We investigate the N=2 superconformal index for supersymmetric quiver Chern-Simons theories with large N gauge groups. After general arguments about the large N limit, we compute the first few terms in the series expansion of the index for theories proposed as dual theories to homogeneous spaces V^{5,2}, Q^{1,1,1}, Q^{2,2,2}, M^{1,1,1}, and N^{0,1,0}. We confirm that the indices have symmetries expected from the isometries of dual manifolds.

27 pages, 7 figures; v2: typos corrected, Sec.6 modified; v3: explanation improved, minor corrections, version published in JHEP

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Cited by in corpus (16)

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• Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D gauged supergravity
• Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory
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• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• 3d s-confinement for three-index matters
• Index for Three Dimensional Superconformal Field Theories and Its Applications
• Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory
• Is toric duality a Seiberg-like duality in (2+1)-d ?
• Exact results in 3d $\mathcal{N}=2$ $Spin(7)$ gauge theories with vector and spinor matters
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry