JHEP 09, 047 (2023)
Wilson-loop One-point Functions in ABJM Theory
Yunfeng Jiang1, Jun-Bao Wu2,3,*, Peihe Yang2
1 School of Phyiscs and Shing-Tung Yau Center, Southeast University, Nanjing 210096, China
2 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, P. R. China
3 Peng Huangwu Center for Fundamental Theory, Hefei, Anhui 230026, P. R. China
* junbao.wu@tju.edu.cn
Abstract
In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop dilatation operator. The Wilson loop is in the fundamental representation of the gauge group or a suitable (super-)group. Such correlation functions at tree level can be written as an overlap of the Bethe state corresponding to the single trace operator and a boundary state which corresponds to the Wilson loop. There are various type of supersymmetric Wilson loops in ABJM theory. We show that some of them correspond to tree-level integrable boundary states while some are not. For the tree-level integrable ones, we prove their integrability and obtain analytic formula for the overlaps. For the non-integrable ones, we give examples of non-vanishing overlaps for Bethe states which violate selection rules.
