BPS $M2$-branes in $AdS_4\times Q^{1, 1, 1}$ Dual to Loop Operators

Abstract

In this paper, we first compute the Killing spinors of $AdS_4\times Q^{1, 1, 1}$ and its certain orbifolds. Based on this, two classes of $M2$-brane solutions are found. The first class of solutions includes $M2$-branes dual to Wilson loops in the fundamental representation as special cases. The second class includes the candidates of the holographic description of vortex loops in the dual field theories.

v6, typoes fixed, 14 pages, no figures