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}} }
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.