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

Akikazu Hashimoto, Peter Ouyang

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.

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

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.

Paper Structure

This paper contains 1 section, 36 equations, 1 figure.

Table of Contents

  1. Acknowledgements

Figures (1)

  • Figure 1: A configuration of D3, NS5, and $(p,q)$ 5-branes in type IIB string theory. $N$ D3-branes wind around an $S_1$ of size $L$. An NS5-brane and a $(p,q)$ 5-brane intersects the D3-brane at a localized point along the $S_1$ but extends along the other 3 world volume coordinates of the D3-branes. Low energy effective theory of open strings is a Chern-Simons/Yang-Mills/matter theory with gauge group $U(N) \times U(N)$.