Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model

TL;DR

This paper analyzes the large-N limit of the mass-deformed ABJM matrix model on S(3), revealing a complex phase structure with infinitely many third-order quantum phase transitions at strong coupling.

Contribution

It provides an exact solution of the matrix model at large-N in the decompactification limit and uncovers a novel infinite sequence of quantum phase transitions.

Findings

Infinite number of third-order phase transitions

Rich phase structure at strong coupling

Exact large-N solution in decompactification limit

Abstract

When mass-deformed ABJM theory is considered on S(3), the partition function of the theory localises and is given by a matrix model. We solve this model at large-N in the decompactification limit, where the radius of the three-sphere is taken to infinity. In this limit, the theory exhibits a rich phase structure with an infinite number of third-order quantum phase transitions accumulating at strong coupling.