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arXiv · 2306.05773

Wilson-loop One-point Functions in ABJM Theory

Yunfeng Jiang·Jun-Bao Wu·Peihe Yang
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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.

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Yunfeng Jiang, Jun-Bao Wu, Peihe Yang. 2023-11-09. Wilson-loop One-point Functions in ABJM Theory. https://doi.org/10.1007/jhep09(2023)047

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