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Published in

Springer, Journal of High Energy Physics, 7(2021), 2021

DOI: 10.1007/jhep07(2021)159

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Notes on hyperloops in $ \mathcal{N} $ = 4 Chern-Simons-matter theories

Journal article published in 2021 by Nadav Drukker ORCID, Marcia Tenser, Diego Trancanelli ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

Abstract We present new circular Wilson loops in three-dimensional $ \mathcal{N} $ N = 4 quiver Chern-Simons-matter theory on S3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin loop. Including then adjacent nodes, the coupling to the bifundamental matter fields allows to enlarge this family and to construct loop operators based on superconnections. We discuss their classification, which depends on both discrete data and continuous parameters subject to an identification. The resulting moduli spaces are conical manifolds, similar to the conifold of the 1/6 BPS loops of the ABJ(M) theory.