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

TL;DR

This paper explores the integrability of the planar $\

Contribution

It introduces a twisted generating functional and modifies the Y-system to incorporate $\

Findings

Derived twisted asymptotic Bethe ansatz equations.

Modified the Y-system for $\

Applied the method to $sl(2)$-like sector and $eta$-deformed ABJM.

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.