JHEP 03, 133 (2017)                    arXiv link

Y-system for γ-deformed ABJM theory

Hui-Huang Chen^1,2, Peng Liu^1,2, Jun-Bao Wu^3,4,1,2,5

1 Institute of High Energy Physics, and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, P. R. China.

2 University of Chinese Academy of Sciences, 19A Yuquan Road, Beijing 100049, P. R. China.

3 School of Science, Tianjin University, 92 Weijin Road, Tianjin 300072, P. R. China

4 School of Physics, Beihang University, 37 Xueyuan Road, Beijing 100191, P. R. China

5 Center for High Energy Physics, Peking University, 5 Yiheyuan Road, Beijing 100871, P. R. China

ABSTRACT

We investigate the integrable aspects of the planar γ-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 in the sl(2)-like sector and some important examples in β-deformed ABJM are presented as well.