PIRSA:16100036

Painlevé equations and Hitchin systems in four-dimensional N = 2 theories

Sciarappa, A. (2016). Painlevé equations and Hitchin systems in four-dimensional N = 2 theories. Perimeter Institute. https://pirsa.org/16100036

Sciarappa, Antonio. Painlevé equations and Hitchin systems in four-dimensional N = 2 theories. Perimeter Institute, Oct. 17, 2016, https://pirsa.org/16100036 

          @misc{ pirsa_PIRSA:16100036,
            doi = {10.48660/16100036},
            url = {https://pirsa.org/16100036},
            author = {Sciarappa, Antonio},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Painlev{\'e} equations and Hitchin systems in four-dimensional N = 2 theories},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {oct},
            note = {PIRSA:16100036 see, \url{https://pirsa.org}}
          }

Antonio Sciarappa

Talk number
PIRSA:16100036
Collection
Talk Type
Subject
Abstract

Painlevé equations can be obtained both from time-dependent classical Hamiltonian systems and from isomonodromic deformation problems. These realizations lead to a precise matching between Painlevé equations and Hitchin systems associated to four-dimensional N=2 SQCD as well as Argyres-Douglas theories. Long-time analysis of the Painlevé Hamiltonians dynamics allows to extract the unrefined "instanton" partition function for these theories at all strong-coupling points