Taming Supersymmetric Defects in 3d-3d Correspondence

2015/10/13 by Dongmin Gang, Nakwoo Kim, Mauricio Romo +1 · 1 voice · 1 citation
Mathematics · Physics and Astronomy · #hep-th #math.GT #math.QA

paper · pdf · doi:10.1088/1751-8113/49/30/30lt02

published as J. Phys. A: Math. Theor. 49, 30LT02 (2016) · 6 pages, 3 figures

Abstract

We study knots in 3d Chern-Simons theory with complex gauge group SL(N,ℂ), in the context of its relation with 3d N=2 theory (the so-called 3d-3d correspondence). The defect has either co-dimension 2 or co-dimension 4 inside the 6d (2,0) theory, which is compactified on a 3-manifold M. We identify such defects in various corners of the 3d-3d correspondence, namely in 3d SL(N,ℂ) Chern-Simons theory, in 3d N=2 theory, in 5d N=2 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, which contains more details and more results.

Cited by

• Aspects of Defects in 3d-3d Correspondence

Discussions

• Submitted a paper! "Taming Supersymmetric Defects in 3d-3d Correspondence" http://arxiv.org/abs/1510.03884 [bsky, 0 points, 0 comments]

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