MULTISPIN MEMBRANE SOLUTIONS IN AdS4 ×Q1, 1, 1

Abstract

We study several types of classical rotating membrane solutions in AdS 4 ×Q1, 1, 1 and discuss their field theory duals. Q1, 1, 1 is a seven-dimensional Sasaki–Einstein manifold given as a nontrivial U(1) fibration over S2×S2×S2, equipped with SU(2)3 ×U(1) isometry. It is recently suggested that there exist quiver Chern–Simons theories which are dual to M-theory in certain orbifolds of Q1, 1, 1. The membrane solutions we consider have in general nonvanishing angular momenta both in AdS 4 and Q1, 1, 1 spaces. We present solutions for folded and wrapped membranes. According to the AdS/CFT correspondence, such classical solutions are dual to long operators of the dual conformal field theories in the large coupling limit. We analyze the asymptotic behaviour of the dispersion relation between energy (conformal dimension) and angular momenta (global charges).