PIRSA:16100036 Scientific Series Quantum Fields and Strings

DOI10.48660/16100036

Series: Quantum Fields and Strings

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}}
}

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

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