PIRSA:19030121 Scientific Series Quantum Fields and Strings

DOI10.48660/19030121

Series: Quantum Fields and Strings

Closset, C. (2019). 3d N=2 gauge theories, Seifert geometry and fibering operators. Perimeter Institute. https://pirsa.org/19030121

Closset, Cyril. 3d N=2 gauge theories, Seifert geometry and fibering operators. Perimeter Institute, Mar. 26, 2019, https://pirsa.org/19030121 

@misc{ pirsa_PIRSA:19030121,
  doi = {10.48660/19030121},
  url = {https://pirsa.org/19030121},
  author = {Closset, Cyril},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {3d N=2 gauge theories, Seifert geometry and fibering operators},
  publisher = {Perimeter Institute},
  year = {2019},
  month = {mar},
  note = {PIRSA:19030121 see, \url{https://pirsa.org}}
}

Abstract

I will give an overview of recent results on three-dimensional N=2 supersymmetric gauge theories placed on arbitrary half-BPS geometries. In particular, I will explain an explicit computation of the supersymmetric partition function on any Seifert three-manifold; such manifolds can have very intricate and interesting topology (for instance, a nice example is the Poincaré sphere) and can provide new interesting observables in 3d SCFTs. I will also discuss to which extent these results exhibit a generalisation of the 3d TQFT structure of Chern-Simons theory to non-topological (but supersymmetric) theories.
 

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