Rotating Membranes in AdS_4xM^{1,1,1}

TL;DR

This paper explores classical rotating membrane solutions in AdS_4 x M^{1,1,1} to understand their dual operators in supersymmetric Chern-Simons theories, revealing insights into their conformal dimensions.

Contribution

It provides explicit exact solutions for rotating membranes in AdS_4 x M^{1,1,1} and analyzes their dual operators and conformal dimensions.

Findings

Exact rotating membrane solutions in AdS_4 x M^{1,1,1}

Identification of dual operators in Chern-Simons theories

Implications for conformal dimensions of dual operators

Abstract

Motivated by the recent progress on gravity duals of supersymmetric Chern-Simons matter theories, we consider classical membrane solutions in AdS_4 x M^{1,1,1}. In particular, we present several types of exact solutions rotating in the Sasaki-Einstein 7-manifold whose isometry is SU(3)xSU(2)xU(1). We analyze the limiting behavior of macroscopic membranes and discuss how one can identify the dual operators and the implications of our result on their conformal dimensions.