ABJM Wilson loops in arbitrary representations

doi:10.1007/JHEP10(2013)168

ABJM Wilson loops in arbitrary representations

2013-10-24

57

OA

AI

DOI：10.1007/JHEP10(2013)168

Original

Original request for help

Save

Abstract

En 中文

We study vacuum expectation values (VEVs) of circular half BPS Wilson loops in arbitrary representations in ABJM theory. We find that those in hook representations are reduced to elementary integrations thanks to the Fermi gas formalism, which are accessible from the numerical studies similar to the partition function in the previous studies. For non-hook representations, we show that the VEVs in the grand canonical formalism can be exactly expressed as determinants of those in the hook representations. Using these facts, we can study the instanton effects of the VEVs in various representations. Our results are consistent with the worldsheet instanton effects studied from the topological string and a prescription to include the membrane instanton effects by shifting the chemical potential, which has been successful for the partition function.

Keywords:

Matrix Models

Wilson

't Hooft and Polyakov loops

Topological Strings

M-Theory

ABJM Wilson loops in arbitrary representations

Abstract

Journal

Organization