On Large N Solution of ABJM Theory

TL;DR

This paper analyzes the large N behavior of BPS Wilson loops in ABJM theory, deriving results consistent with AdS/CFT correspondence using saddle-point equations.

Contribution

It provides a new integral expression for the partition function and applies saddle-point analysis to understand Wilson loop behavior at large N and strong coupling.

Findings

Large N limit of Wilson loop matches AdS/CFT predictions

Perturbative expansion derived from saddle-point equations

Large mbda behavior characterized and confirmed

Abstract

We investigate the large N limit of the expectation value W(\lambda) of a BPS Wilson loop in ABJM theory, using an integral expression of the partition function obtained recently by Kapustin et.al. Certain saddle-point equations provide the correct perturbative expansion of W(\lambda). The large \lambda behavior of W(\lambda) is also obtained from the saddle-point equations. The result is compatible with AdS/CFT correspondence.