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Notes on hyperloops in N=4 Chern-Simons-matter theories

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arxiv 2012.07096 v2 pith:M5ONJA6W submitted 2020-12-13 hep-th

Notes on hyperloops in N=4 Chern-Simons-matter theories

classification hep-th
keywords chern-simons-matterfamilylooploopsoperatorsquivertheoryadjacent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present new circular Wilson loops in three-dimensional N=4 quiver Chern-Simons-matter theory on S^3. 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.

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