New supersymmetric Wilson loops in ABJ(M) theories

TL;DR

This paper introduces two new classes of supersymmetric Wilson loops in ABJ(M) theories, expanding the set of known operators and enabling new tests of gauge/gravity duality through exact localization computations.

Contribution

The authors construct two novel families of Wilson loops with supersymmetry in ABJ(M) theories, including arbitrary contours and spheres, some of which are new and extend previous known loops.

Findings

New supersymmetric Wilson loops for arbitrary contours and spheres.

Some loops are exactly computable via localization techniques.

Potential for new tests of gauge/gravity correspondence.

Abstract

We present two new families of Wilson loop operators in N= 6 supersymmetric Chern-Simons theory. The first one is defined for an arbitrary contour on the three dimensional space and it resembles the Zarembo's construction in N=4 SYM. The second one involves arbitrary curves on the two dimensional sphere. In both cases one can add certain scalar and fermionic couplings to the Wilson loop so it preserves at least two supercharges. Some previously known loops, notably the 1/2 BPS circle, belong to this class, but we point out more special cases which were not known before. They could provide further tests of the gauge/gravity correspondence in the ABJ(M) case and interesting observables, exactly computable by localization