Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories

Abstract

Aharony, Bergman, Jafferis and Maldacena have recently proposed a dual gravitational description for a family of superconformal Chern Simons theories in three spacetime dimensions. In this note we perform the one loop computation that determines the field theory superconformal index of this theory and compare with the index computed over the Fock space of dual supersymmetric gravitons. In the appropriate limit (large $N$ and large $k$) we find a perfect match.

arXiv commentminor typos corrected, 13 pages, no figures

References in corpus (13)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• An Index for 4 dimensional Super Conformal Theories
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Notes on Superconformal Chern-Simons-Matter Theories
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• Solitonic Black Holes in Gauged N=2 Supergravity
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Index for Orbifold Quiver Gauge Theories
• Supersymmetric States in M5/M2 CFTs

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