Supergravity dual of Chern-Simons Yang-Mills theory with N=6,8 superconformal IR fixed point

TL;DR

This paper constructs an eleven-dimensional supergravity solution dual to a 2+1 dimensional Chern-Simons Yang-Mills theory with N=6,8 superconformal IR fixed points, extending previous models with a new hyper-Kaehler manifold.

Contribution

It provides a new supergravity background corresponding to a specific class of superconformal IR fixed points in Chern-Simons Yang-Mills theories with enhanced supersymmetry.

Findings

Supergravity solution corresponds to M2 branes on a hyper-Kaehler manifold.

Dual field theory flows to N=6,8 superconformal fixed points in IR.

Generalizes previous supergravity constructions for these theories.

Abstract

We construct a solution of eleven dimensional supergravity corresponding to a stack of M2 branes localized at the center of a particular eight dimensional hyper-Kaehler manifold constructed by Gauntlett, Gibbons, Papadopoulos, and Townsend, generalizing the earlier construction of Cherkis and Hashimoto. In the decoupling limit, this solution is dual to a Chern-Simons/Yang-Mills/Matter theory in 2+1 dimensions with N=3 supersymmetry, which flows in the infra red to a superconformal Chern-Simons/Matter system preserving N=6,8 supersymmetry, constructed recently by Aharony, Bergman, Jafferis, and Maldacena.