Large N behavior of mass deformed ABJM theory

TL;DR

This paper investigates the large N limit of mass deformed ABJM theory on a three-sphere, revealing two saddle point solutions, computing free energy, and identifying a first order phase transition that may correspond to a gravity dual transition.

Contribution

It provides a detailed analysis of the large N behavior of mass deformed ABJM theory, discovering multiple saddle points and phase transitions using localization techniques.

Findings

Two distinct saddle point solutions in the large N limit.

Identification of a first order phase transition.

Potential prediction of a dual gravity phase transition.

Abstract

In this paper, using the localization technique we analyze the large N limit of the mass deformed Aharony-Bergman-Jafferis-Maldacena (ABJM) theory on the three sphere with a finite mass parameter and finite Chern-Simons levels. We find two different solutions of the saddle point equations in the large N limit. With these solutions we compute the free energy and find that there is a first order phase transition. Our results may predict a phase transition in the dual gravity theory.