Wilson Loops from D-branes in AdS(4) X CP**3 with B-NS Holonomy

TL;DR

This paper investigates Wilson loops in a specific superconformal Chern-Simons theory using D-branes and string configurations in an AdS4 x CP3 background with B-NS holonomy, revealing their dual descriptions.

Contribution

It provides a novel description of Wilson loops in terms of macroscopic strings and D6-branes in AdS4 x CP3 with B-NS flux, connecting gauge theory operators to string theory configurations.

Findings

Wilson loops correspond to fundamental strings and D6-branes in the dual geometry.

The presence of B-NS holonomy affects the dual string and brane configurations.

New insights into the holographic dual of Wilson loops in orbifolded backgrounds.

Abstract

We study Wilson loops in N=6 superconformal Chern-Simons theory with gauge group $U(M) \times \bar{U(N)}$ that is dual to N M2-branes and (M-N) fractional M2-branes, equivalently, discrete 3-form holonomy at C4/Zk orbifold singularity. We give description of these Wilson loops in terms of macroscopic fundamental string and D6-branes in the dual AdS$_4\times$ CP$^3$ geometry with NS-NS B field turned on over CP$^1 \subset$ CP$^3$.