Quantum phase transitions in mass-deformed ABJM matrix model

Abstract

Abstract: When mass-deformed ABJM theory is considered on S3, the partition function of the theory localises, and is given by a matrix model. At large N, we solve this model 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.