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

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

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Abstract We present new circular Wilson loops in three-dimensional N $$ mathcal{N} Gift Wrapping $$ = 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 Waxing Kits 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.