Superconformal Index for $\mathcal{N}=3$ $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories

Abstract

We compute superconformal indices for $\mathcal{N}=3$ $\widehat{ADE}$ Chern-Simons quiver gauge theories with a product gauge group ${\prod }_{i}U(N{)}_i$, using the method of supersymmetric localization. We also perform a large $N$ analysis of the index. This index includes contribution from non zero magnetic flux sector. The fact that these theories have a weakly coupled UV completion in terms of $\mathcal{N}=3$ supersymmetric Chern-Simons Yang-Mills theories enables us to apply the localization technique. Such theories have dual M-theory description on ${\mathrm{AdS}}_4\times M_7$, where $M_7$ is a tri-Sasaki Einstein manifold.

arXiv commentVersion published in journal

References in corpus (15)

• The Large N Limit of Superconformal Field Theories and Supergravity
• An Index for 4 dimensional Super Conformal Theories
• The complete superconformal index for N=6 Chern-Simons theory
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• A simple class of N=3 gauge/gravity duals
• Charges of Monopole Operators in Chern-Simons Yang-Mills Theory
• Matrix Models for Supersymmetric Chern-Simons Theories with an ADE Classification
• Monopole Vector Spherical Harmonics
• The ABCDEF's of Matrix Models for Supersymmetric Chern-Simons Theories
• A Monopole Index for N=4 Chern-Simons Theories
• 3d $\mathcal{N}=2$ $\widehat{ADE}$ Chern-Simons Quivers
• Covariant Quiver Gauge Theories
• Non-toric Cones and Chern-Simons Quivers
• Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories