PIRSA:17100050

Self-dual N=4 theories in four dimensions

APA

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

MLA

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

BibTex

          @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}}
          }
          
Talk number PIRSA:17100050

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.