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On Painlevé/gauge theory correspondence (Q1683798)

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Language	Label	Description	Also known as
English	On Painlevé/gauge theory correspondence	scientific article

Statements

scholarly article

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On Painlevé/gauge theory correspondence (English)

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Kazunobu Maruyoshi

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Antonio Sciarappa

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Alessandro Tanzini

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Letters in Mathematical Physics

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publication date

1 December 2017

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full work available at URL

https://arxiv.org/abs/1612.06235

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zbMATH Keywords

Painlevé equation

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Painlevé \(\tau \)-function

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supersymmetric gauge theory

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Argyres-Douglas theory

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isomonodromic deformation

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MaRDI profile type

MaRDI publication profile

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Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory

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Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD

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\(N=4\) dualities

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Wall-crossing, Hitchin systems, and the WKB approximation

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Solutions of four-dimensional field theories via M-theory

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Supersymmetric Yang-Mills theory and integrable systems

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New phenomena in \(\text{SU}(3)\) supersymmetric gauge theory

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New \(N = 2\) superconformal field theories in four dimensions

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Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks: Fig. 1.

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AN ALGORITHM FOR THE MICROSCOPIC EVALUATION OF THE COEFFICIENTS OF THE SEIBERG–WITTEN PREPOTENTIAL

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Quantization of the Hitchin moduli spaces, Liouville theory and the geometric Langlands correspondence. I

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Integrability and Seiberg-Witten exact solution

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\(\mathcal N=2\) supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy.

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Liouville correlation functions from four-dimensional gauge theories

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Wild quiver gauge theories

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Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states

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Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories

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Generalized Whittaker states for instanton counting with fundamental hypermultiplets

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Matrix models for irregular conformal blocks and Argyres-Douglas theories

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Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)

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Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)

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Rational surfaces associated with affine root systems and geometry of the Painlevé equations

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Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree

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The τ‐function of the universal whitham hierarchy, matrix models and topological field theories

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WHITHAM-TODA HIERARCHY AND N=2 SUPERSYMMETRIC YANG-MILLS THEORY

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Integrability and Seiberg-Witten theory -- curves and periods

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RG equations from Whitham hierarchy

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III

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Cubic Pencils and Painlevé Hamiltonians

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Erratum: ``Conformal field theory of Painlevé VI''

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How instanton combinatorics solves Painlevé VI, V and IIIs

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Isomonodromic tau-functions from Liouville conformal blocks

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Bilinear equations on Painlevé \(\tau\) functions from CFT

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Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions

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Geometry of the string equations

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Free fermions, \(W\)-algebras, and isomonodromic deformations

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Ising model and \(N=2\) supersymmetric theories

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Monodromy problem and the boundary condition for some Painlevé equations

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Generalized matrix models and AGT correspondence at all genera

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Quantum geometry of refined topological strings

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Seiberg-Witten prepotential from instanton counting

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Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations

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Connection formulae for the first Painlevé transcendent in the complex domain

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Monodromy- and spectrum-preserving deformations. I

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Monodromy dependence and connection formulae for isomonodromic tau functions

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Periods and Prepotential of N = 2 SU(2) Supersymmetric Yang–Mills Theory with Massive Hypermultiplets

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An \(N=2\) superconformal fixed point with \(E_6\) global symmetry

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Holomorphicity and modularity in Seiberg-Witten theories with matter

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Superconformal fixed points with \(E_n\) global symmetry

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5d \(E_n\) Seiberg-Witten curve via toric-like diagram

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<i>q</i>-deformed Painlevé<i>τ</i>function and<i>q</i>-deformed conformal blocks

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Five-dimensional AGT conjecture and the deformed Virasoro algebra

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Isomonodromic \(\tau\)-functions and \(W_{N}\) conformal blocks

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Seiberg-Witten theory as a Fermi gas

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Moduli spaces for linear differential equations and the Painlevé equations

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Identifiers

zbMATH Open document ID

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10.1007/s11005-017-0983-6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1683798

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