Mass Deformed ABJM Theory on Three Sphere in Large N limit

TL;DR

This paper investigates the free energy of mass deformed ABJM theory on S^3 in the large N limit, discovering new saddle point solutions and analyzing their geometric duals, including singularities at critical mass values.

Contribution

It introduces a new large N saddle point solution for the mass deformed ABJM theory valid for all mass parameters and examines the geometric implications of these solutions.

Findings

New saddle point solutions exist for all mass parameters.

The solution corresponding to AdS_4 geometry becomes singular at a critical mass.

The gravity dual for mass parameters beyond the critical value remains unknown.

Abstract

In this paper the free energy of the mass deformed ABJM theory on S^3 in the large N limit is studied. We find a new solution of the large N saddle point equation which exists for an arbitrary value of the mass parameter, and compute the free energies for these solutions. We also show that the solution corresponding to an asymptotically AdS_4 geometry is singular at a certain value of the mass parameter and does not exist over this critical value. It is not clear what the gravity dual of the mass deformed ABJM theory on S^3 for the mass parameter larger than the critical value is.