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arXiv:1709.03972 [hep-th]AbstractReferencesReviewsResources

New BPS Wilson loops in $\mathcal N \textbf{= 4}$ circular quiver Chern-Simons-matter theories

Andrea Mauri, Silvia Penati, Jia-ju Zhang

Published 2017-09-12Version 1

We construct new families of 1/4 BPS Wilson loops in 3D $\mathcal N=4$ superconformal Chern-Simons-matter theories corresponding to circular quivers with alternating levels. They are defined as the holonomy of superconnections that contain non-trivial couplings to scalar and fermions, and cannot be reduced to block-diagonal matrices. Consequently, the new operators cannot be written as linear combinations of double-node Wilson loops, as the ones considered so far in the literature. For particular values of the couplings the superconnection becomes block-diagonal and we recover the known fermionic 1/4 and 1/2 BPS Wilson loops. The new operators are cohomologically equivalent to bosonic 1/4 BPS Wilson loops and are then amenable of exact evaluation via localization techniques. Moreover, in the case of orbifold ABJM theory we identify the corresponding gravity duals for some of the 1/4 and 1/2 BPS Wilson loops.

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