Y-system for $\gamma$-deformed ABJM Theory

Abstract

We investigate the integrable aspects of the planar $\gamma$-deformed ABJM theory and propose the twisted asymptotic Bethe ansatz equations. A more general method through a twisted generating functional is discussed, based on which, the asymptotic large L solution of Y-system is modified in order to match the asymptotic Bethe ansatz equations. Several applications of our method were made in the $sl(2)$-like sector and some important examples in $\beta$-deformed ABJM are presented as well.