Journal of High Energy Physics 2025, 30 (2025)
Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states
Jun-Bao Wu1,2*, Peihe Yang2,3
1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, P. R. China.
2 Peng Huanwu Center for Fundamental Theory, 1 Xuefu Avenue, Xi'an, 710127, P. R. China.
3 Center for High Energy Physics, Peking University, 5 Yiheyuan Road, Beijing 100871, China.
* junbao.wu@tju.edu.cn
Abstract
We investigate the correlators of three single-trace operators in Aharony–Bergman-Jafferis–Maldacena (ABJM) theory from the perspective of integrable boundary states. Specifically, we focus on scenarios where two operators are 1/3-BPS and the entire correlation function is considered within the twisted-translated frame. The correlator can be expressed as the overlap between a boundary state and a Bethe state. It is found that the boundary state formed by the two 1/3-BPS operators is integrable when the number of Wick contractions between the non-BPS operator and one of the 1/3-BPS operators is 0 or 1. We compute the overlaps for the proven integrable cases utilizing the symmetries and the coordinate Bethe ansatz.
