PIRSA:17100050 Scientific Series Quantum Fields and Strings

DOI10.48660/17100050

Series: Quantum Fields and Strings

Regalado, D. (2017). Self-dual N=4 theories in four dimensions. Perimeter Institute. https://pirsa.org/17100050

Regalado, Diego. Self-dual N=4 theories in four dimensions. Perimeter Institute, Oct. 24, 2017, https://pirsa.org/17100050 

@misc{ pirsa_PIRSA:17100050,
  doi = {10.48660/17100050},
  url = {https://pirsa.org/17100050},
  author = {Regalado, Diego},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Self-dual N=4 theories in four dimensions},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {oct},
  note = {PIRSA:17100050 see, \url{https://pirsa.org}}
}

Abstract

Known N=4 theories in four dimensions are characterized by a choice of gauge group, and in some cases some "discrete theta angles", as classified by Aharony, Seiberg and Tachikawa. I will review how this data, for the theories with algebra su(N), is encoded in various familiar realizations of the theory, in particular in the holographic AdS_5 \times S^5 dual and in the compactification of the (2,0) A_N theory on T^2. I will then show how the resulting structure, given by a choice of polarization of an appropriate cohomology group, admits additional choices that, unlike known theories, generically preserve SL(2,Z) invariance in four dimensions.

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