Perturbative and nonperturbative aspects of complex Chern-Simons Theory

@article{Dimofte2017PerturbativeAN,
  title={Perturbative and nonperturbative aspects of complex Chern-Simons Theory},
  author={T. Dimofte},
  journal={Journal of Physics A},
  year={2017},
  volume={50},
  pages={443009}
}
  • T. Dimofte
  • Published 2017
  • Physics, Mathematics
  • Journal of Physics A
  • We present an elementary review of some aspects of Chern-Simons theory with complex gauge group SL(N,C). We discuss some of the challenges in defining the theory as a full-fledged TQFT, as well as some successes inspired by the 3d-3d correspondence. The 3d-3d correspondence relates partition functions (and other aspects) of complex Chern-Simons theory on a 3-manifold M to supersymmetric partition functions (and other observables) in an associated 3d theory T[M]. Many of these observables… CONTINUE READING

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