On Painlevé/gauge theory correspondence View Full Text


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Article Info

DATE

2017-09-05

AUTHORS

Giulio Bonelli, Oleg Lisovyy, Kazunobu Maruyoshi, Antonio Sciarappa, Alessandro Tanzini

ABSTRACT

We elucidate the relation between Painlevé equations and four-dimensional rank one N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {N} = 2$$\end{document} theories by identifying the connection associated with Painlevé isomonodromic problems with the oper limit of the flat connection of the Hitchin system associated with gauge theories and by studying the corresponding renormalization group flow. Based on this correspondence, we provide long-distance expansions at various canonical rays for all Painlevé τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}-functions in terms of magnetic and dyonic Nekrasov partition functions for N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {N} = 2$$\end{document} SQCD and Argyres–Douglas theories at self-dual Omega background ϵ1+ϵ2=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\epsilon _1 + \epsilon _2 = 0$$\end{document} or equivalently in terms of c=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c=1$$\end{document} irregular conformal blocks. More... »

PAGES

2359-2413

References to SciGraph publications

  • 2015-06-12. 5d En Seiberg-Witten curve via toric-like diagram in JOURNAL OF HIGH ENERGY PHYSICS
  • 1986-12. Studies on the Painlevé equations in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2001-06. Rational Surfaces Associated with Affine Root Systems¶and Geometry of the Painlevé Equations in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2014-12-04. Isomonodromic Tau-Functions from Liouville Conformal Blocks in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1993-10. Ising model andN=2 supersymmetric theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2015-08-02. Bilinear Equations on Painlevé τ Functions from CFT in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2012-02-13. Wild quiver gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-09-12. Holomorphic anomaly in gauge theories and matrix models in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-07-23. Holomorphicity and modularity in Seiberg-Witten theories with matter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-11-06. Quantum geometry of refined topological strings in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-08-06. N = 2 dualities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-02-28. Supersymmetric gauge theories, intersecting branes and free fermions in JOURNAL OF HIGH ENERGY PHYSICS
  • 1990-10. Geometry of the string equations in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1980-02. Monodromy- and spectrum-preserving deformations I in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2015-09-24. Isomonodromic τ-functions and WN conformal blocks in JOURNAL OF HIGH ENERGY PHYSICS
  • 1993-04. Connection formulae for the first Painlevé transcendent in the complex domain in LETTERS IN MATHEMATICAL PHYSICS
  • 2017-11-28. Quantum Hitchin Systems via β-Deformed Matrix Models in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2003-05-21. Multi-instanton calculus and equivariant cohomology in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-01-22. Liouville Correlation Functions from Four-Dimensional Gauge Theories in LETTERS IN MATHEMATICAL PHYSICS
  • 2010-01-29. Five-dimensional AGT conjecture and the deformed Virasoro algebra in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-10-29. Erratum: Conformal field theory of Painlevé VI in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-10-04. Conformal field theory of Painlevé VI in JOURNAL OF HIGH ENERGY PHYSICS
  • 1986-06. Studies on the Painlevé equations in MATHEMATISCHE ANNALEN
  • 2007-01-01. Seiberg-Witten Theory and Random Partitions in THE UNITY OF MATHEMATICS
  • 2016-11-10. Seiberg–Witten theory as a Fermi gas in LETTERS IN MATHEMATICAL PHYSICS
  • 2012-05-11. Generalized Whittaker states for instanton counting with fundamental hypermultiplets in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-10-19. Matrix models for irregular conformal blocks and Argyres-Douglas theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-12-11. Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
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    34 schema:description We elucidate the relation between Painlevé equations and four-dimensional rank one N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {N} = 2$$\end{document} theories by identifying the connection associated with Painlevé isomonodromic problems with the oper limit of the flat connection of the Hitchin system associated with gauge theories and by studying the corresponding renormalization group flow. Based on this correspondence, we provide long-distance expansions at various canonical rays for all Painlevé τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}-functions in terms of magnetic and dyonic Nekrasov partition functions for N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {N} = 2$$\end{document} SQCD and Argyres–Douglas theories at self-dual Omega background ϵ1+ϵ2=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\epsilon _1 + \epsilon _2 = 0$$\end{document} or equivalently in terms of c=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c=1$$\end{document} irregular conformal blocks.
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