Holographic Duals of D=3 N=4 Superconformal Field Theories

TL;DR

This paper constructs supergravity solutions dual to a broad class of 3D N=4 superconformal field theories, providing a geometric realization of their properties and symmetries.

Contribution

It presents explicit warped AdS_4 x K supergravity solutions dual to 3D N=4 SCFTs labeled by partitions, linking supergravity to field theory constraints and symmetries.

Findings

Supergravity solutions explicitly realize the global symmetries of the SCFTs.

Derived supergravity-based constraints for the IR fixed points of the gauge theories.

Established a holographic correspondence for a large family of 3D N=4 SCFTs.

Abstract

We find the warped AdS_4 x K type-IIB supergravity solutions holographically dual to a large family of three dimensional \cN=4 superconformal field theories labeled by a pair (\rho,\hat\rho) of partitions of N. These superconformal theories arise as renormalization group fixed points of three dimensional mirror symmetric quiver gauge theories, denoted by T^{\rho}_{\hat \rho}(SU(N)) and T_{\rho}^{\hat \rho}(SU(N)) respectively. We give a supergravity derivation of the conjectured field theory constraints that must be satisfied in order for these gauge theories to flow to a non-trivial supersymmetric fixed point in the infrared. The exotic global symmetries of these superconformal field theories are precisely realized in our explicit supergravity description.