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Three-Dimensional Superconformal Field Theory, Chern-Simons Theorv, and Their Correspondence

Citation

Chung, Hee Joong (2014) Three-Dimensional Superconformal Field Theory, Chern-Simons Theorv, and Their Correspondence. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:06062014-152022421

Abstract

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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Three-Dimensional Superconformal Field Theory, Chern-Simons Theory, 3d-3d Correspondence
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Gukov, Sergei (advisor)
  • Schwarz, John H. (co-advisor)
Group:Caltech Theory
Thesis Committee:
  • Gukov, Sergei (chair)
  • Schwarz, John H. (co-chair)
  • Kapustin, Anton N.
  • Porter, Frank C.
Defense Date:30 May 2014
Record Number:CaltechTHESIS:06062014-152022421
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:06062014-152022421
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8496
Collection:CaltechTHESIS
Deposited By: Hee Joong Chung
Deposited On:10 Jun 2014 18:51
Last Modified:22 Oct 2018 16:30

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