Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories

TL;DR

This paper demonstrates that a broad class of three-dimensional $ ext{N}=2$ quiver super Chern-Simons-matter theories can support BPS Wilson loops of the Drukker-Trancanelli type, with supersymmetry properties depending on specific parameters.

Contribution

The authors construct and analyze BPS DT type Wilson loops in general $ ext{N}=2$ quiver super Chern-Simons-matter theories, revealing conditions for supersymmetry enhancement.

Findings

BPS Wilson loops exist in these theories along lines and circles.

Supersymmetry preservation depends on free parameters in the Wilson loop construction.

Special parameter choices lead to supersymmetry enhancement.

Abstract

We show that generic three-dimensional $\mathcal N=2$ quiver super Chern-Simons-matter theories admit Bogomol'nyi-Prasad-Sommerfield (BPS) Drukker-Trancanelli (DT) type Wilson loops. We investigate both Wilson loops along timelike infinite straight lines in Minkowski spacetime and circular Wilson loops in Euclidean space. In Aharnoy-Bergman-Jafferis-Maldacena theory, we find that generic BPS DT type Wilson loops preserve the same number of supersymmetries as Gaiotto-Yin type Wilson loops. There are several free parameters for generic BPS DT type Wilson loops in the construction, and supersymmetry enhancement for Wilson loops happens for special values of the parameters.