Three-Dimensional Superconformal Field Theory, Chern-Simons Theory, and Their Correspondence |
Posted on:2015-01-01 | Degree:Ph.D | Type:Thesis |
University:California Institute of Technology | Candidate:Chung, Hee Joong | Full Text:PDF |
GTID:2475390017489624 | Subject:Physics |
Abstract/Summary: | |
In this thesis, we discuss 3d-3d correspondence between Chern-Simons theory and three-dimensional N = 2 superconformal field theory. In the 3d-3d correspondence proposed by Dimofte-Gaiotto-Gukov information of abelian flat connection in Chern-Simons theory was not captured. However, considering M-theory configuration giving the 3d-3d correspondence and also other several developments, the abelian flat connection should be taken into account in 3d-3d correspondence. With help of the homological knot invariants, we construct 3d N = 2 theories on knot complement in 3-sphere for several simple knots. Previous theories obtained by Dimofte-Gaiotto-Gukov can be obtained by Higgsing of the full theories. We also discuss the importance of all flat connections in the 3d-3d correspondence by considering boundary conditions in 3d N = 2 theories and 3-manifold. |
Keywords/Search Tags: | Correspondence, Chern-simons theory, Theories |
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