Exact partition function in $U(2)\times U(2)$ ABJM theory deformed by mass and Fayet-Iliopoulos terms

TL;DR

This paper provides an exact computation of the partition function for a deformed ABJM theory on S^3, revealing phase transitions and Lee-Yang zeros depending on the parameters and Chern-Simons level.

Contribution

It presents the first exact calculation of the partition function for U(2)×U(2) ABJM theory with mass and FI deformations, including analysis of phase transitions and zeros.

Findings

Partition function computed exactly for k=1,2 and general k.

Infinite Lee-Yang zeros for k=1,2.

Quantum phase transition at m=2ζ in the decompactification limit.

Abstract

We exactly compute the partition function for $U(2)_k\times U(2)_{-k}$ ABJM theory on $\mathbb S^3$ deformed by mass $m$ and Fayet-Iliopoulos parameter $\zeta $. For $k=1,2$, the partition function has an infinite number of Lee-Yang zeros. For general $k$, in the decompactification limit the theory exhibits a quantum (first-order) phase transition at $m=2\zeta $.