Resurgence, Painlevé equations and conformal blocks (Q5872775)

scientific article; zbMATH DE number 7638011

Language	Label	Description	Also known as
English	Resurgence, Painlevé equations and conformal blocks	scientific article; zbMATH DE number 7638011

Statements

instance of

scholarly article

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title

Resurgence, Painlevé equations and conformal blocks (English)

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published in

Journal of Physics A: Mathematical and Theoretical

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publication date

4 January 2023

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full work available at URL

https://arxiv.org/abs/1901.02076

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zbMATH Keywords

resurgence

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Painlevé systems

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conformal blocks

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Painlevé differential equations in the complex plane

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Q5493481

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Q5394330

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Q3574974

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Reductions of self-dual Yang-Mills fields and classical systems

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Painlevé III and \(2\)D polymers

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Random unitary matrices, permutations and Painlevé

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Q4765553

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Q4864679

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On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations

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Asymptotics of the Instantons of Painlevé I

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Nonperturbative ambiguities and the reality of resurgent transseries

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An introduction to resurgence, trans-series and alien calculus

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Conformal field theory of Painlevé VI

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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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Classical conformal blocks and Painlevé VI

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Argyres-Douglas theories, Painlevé II and quantum mechanics

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Monodromy problem and the boundary condition for some Painlevé equations

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Application of theτ-function theory of Painlevé equations to random matrices:PVI, the JUE, CyUE, cJUE and scaled limits

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Random matrix theory and the sixth Painlevé equation

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A review of the sixth Painlevé equation

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Fredholm determinant evaluations of the Ising model diagonal correlations and their \(\lambda \) generalization

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Discrete Painlevé equations for a class of PVIτ-functions given asU(N)averages

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Monodromy dependence and connection formulae for isomonodromic tau functions

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Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions

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Seiberg-Witten prepotential from instanton counting

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Q5482632

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On determinant representation and integrability of Nekrasov functions

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Tying Up Instantons with Anti-Instantons

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Classical conformal blocks and accessory parameters from isomonodromic deformations

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Exponentially small corrections in the asymptotic expansion of the eigenvalues of the cubic anharmonic oscillator

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Uniform asymptotic and JWKB expansions for anharmonic oscillators

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Anharmonic oscillator discontinuity formulae up to second-exponentially-small order

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Langer–Cherry derivation of the multi-instanton expansion for the symmetric double well

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WKB and resurgence in the Mathieu equation

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Quantum geometry of resurgent perturbative/nonperturbative relations

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Resurgence in sine-Gordon quantum mechanics: exact agreement between multi-instantons and uniform WKB

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TBA equations and resurgent quantum mechanics

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Quantum sine(h)-Gordon model and classical integrable equations

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Critical values of the Yang-Yang functional in the quantum sine-Gordon model

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Asymptotics of the spectrum of Heun's equation and the exact WKB analysis

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Infinite conformal symmetry in two-dimensional quantum field theory

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Conformal bootstrap in Liouville field theory

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Liouville correlation functions from four-dimensional gauge theories

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Wall-crossing, Hitchin systems, and the WKB approximation

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On AGT conjecture

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On combinatorial expansion of the conformal blocks arising from AGT conjecture

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On information loss in \(\mathrm{AdS}_{3 }\mathrm{CFT}_{2}\)

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Movable poles of the solutions of Painlevé's equation of the third kind and their relation with Mathieu functions

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Nekrasov functions and exact Bohr-Sommerfeld integrals

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Quantum Painlevé-Calogero correspondence

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Quantum Painlevé-Calogero correspondence for Painlevé VI

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The toroidal block and the genus expansion

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Classical irregular block, \( \mathcal{N} = 2\) pure gauge theory and Mathieu equation

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Classical limit of irregular blocks and Mathieu functions

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Non-perturbative quantum geometry

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Non-perturbative quantum geometry. II

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Non-perturbative quantum geometry. III

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Exact WKB analysis of \( \mathcal{N} =2\) gauge theories

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Holomorphic anomaly and quantum mechanics

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Bands and gaps in Nekrasov partition function

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On Painlevé/gauge theory correspondence

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Poles of intégrale tritronquée and anharmonic oscillators. Asymptotic localization from WKB analysis

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Poles of integrále tritronquée and anharmonic oscillators. A WKB approach

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Poles of tritronquée solution to the Painlevé I equation and cubic anharmonic oscillator

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Painlevé transcendents and -symmetric Hamiltonians

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Critical point phenomena - the role of series expansions

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Q4137395

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Hyperasymptotics for integrals with saddles

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Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results

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The anisotropic Ising correlations as elliptic integrals: duality and differential equations

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Holonomy of the Ising model form factors

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Form factor expansions in the 2D Ising model and Painlevé VI

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Discrete gap probabilities and discrete Painlevé equations.

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Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model

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

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Polynomial Hamiltonians associated with Painleve equations. II: Differential equations satisfied by polynomial Hamiltonians

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Nonperturbative effects and nonperturbative definitions in matrix models and topological strings

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Unitary matrix models and Painlevé. III

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Transmutation of a trans-series: the Gross-Witten-Wadia phase transition

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Random matrix theory and entanglement in quantum spin chains

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Electron counting statistics and coherent states of electric current

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Counting free fermions on a line: a Fisher–Hartwig asymptotic expansion for the Toeplitz determinant in the double-scaling limit

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The sixth Painlevé transcendent and uniformization of algebraic curves

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describes a project that uses

Digital Library of Mathematical Functions

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Identifiers

Mathematics Subject Classification ID

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10.1088/1751-8121/AB3142

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Sitelinks

Mathematics(1 entry)

mardi Publication:5872775