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Taming Supersymmetric Defects in 3d-3d Correspondence

Dongmin Gang Nakwoo Kim Mauricio Andrés Romo Jorquera Masahito Yamazaki

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2206.74014

2015.10
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.
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@inproceedings{dongmin2015taming,
  title={Taming Supersymmetric Defects in 3d-3d Correspondence},
  author={Dongmin Gang, Nakwoo Kim, Mauricio Andrés Romo Jorquera, and Masahito Yamazaki},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220607142104850942337},
  year={2015},
}
Dongmin Gang, Nakwoo Kim, Mauricio Andrés Romo Jorquera, and Masahito Yamazaki. Taming Supersymmetric Defects in 3d-3d Correspondence. 2015. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220607142104850942337.
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