Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions

TL;DR

This paper constructs 1/6 BPS string solutions in AdS_4 x CP^3, linking them to Wilson loops in N=6 super Chern-Simons-matter theory, and verifies a strong coupling relation with Bremsstrahlung functions.

Contribution

It identifies dual string configurations for 1/6 BPS Wilson loops and confirms a proposed relation between Wilson loop expectation values and Bremsstrahlung functions at strong coupling.

Findings

Constructed 1/6 BPS string solutions in AdS_4 x CP^3.

Verified the relation between Wilson loop expectation values and Bremsstrahlung functions.

Derived analogous relations for 1/12 BPS Wilson loops.

Abstract

We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as the duals of certain 1/6 BPS circular Wilson loops in N=6 super Chern-Simons-matter gauge theory. We use our results to verify -in the strong coupling limit- a proposal made in arXiv:1402.4128 for a relation between the expectation value of these Wilson loops and the Bremsstrahlung function from deforming 1/2 BPS Wilson lines with a cusp. We also derive an analogous relation between the expectation value of some particular 1/12 BPS Wilson loops and the Bremsstrahlung function from deforming 1/6 BPS Wilson lines with an internal space cusp.