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On Painlevé/gauge theory correspondence

Bonelli, G.
•
Lisovyy, O.
•
Maruyoshi, K.
altro
Tanzini, A.
2017
  • journal article

Periodico
LETTERS IN MATHEMATICAL PHYSICS
Abstract
We elucidate the relation between Painlev\'e equations and four-dimensional rank one N=2 theories by identifying the connection associated to Painlev\'e isomonodromic problems with the oper limit of the flat connection of the Hitchin system associated to gauge theories and by studying the corresponding renormalisation group flow. Based on this correspondence we provide long-distance expansions at various canonical rays for all Painlev\'e functions in terms of magnetic and dyonic Nekrasov partition functions for N=2 SQCD and Argyres-Douglas theories at self-dual Omega background ε1+ε2=0, or equivalently in terms of c=1 irregular conformal blocks.
DOI
10.1007/s11005-017-0983-6
WOS
WOS:000414390000006
Archivio
http://hdl.handle.net/20.500.11767/61340
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85028991786
http://www.kluweronline.com/issn/0377-9017
https://arxiv.org/abs/1612.06235
Diritti
closed access
Soggetti
  • Painleve equation

  • Painleve tau-function...

  • Supersymmetric gauge ...

  • Argyres-Douglas theor...

  • Isomonodromic deforma...

  • Settore FIS/02 - Fisi...

  • Settore MAT/07 - Fisi...

Web of Science© citazioni
45
Data di acquisizione
Mar 28, 2024
Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
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