Taming supersymmetric defects in 3d–3d correspondence.

We study knots in 3d Chern–Simons theory with complex gauge group , in the context of its relation with 3d theory (the so-called 3d–3d correspondence). The defect has either co-dimension 2 or co-dimension 4 inside the 6d theory, which is compactified on a 3-manifold . We identify such defects in various corners of the 3d–3d correspondence, namely in 3d CS theory, in 3d theory, in 5d super Yang–Mills theory, and in the M-theory holographic dual. We can make quantitative checks of the 3d–3d correspondence by computing partition functions at each of these theories. This Letter is a companion to a longer paper [1], which contains more details and more results. [ABSTRACT FROM AUTHOR]