Expansions for semiclassical conformal blocks

Quantum field theory; related classical field theories (81Txx) General relativity (83Cxx) Ordinary differential equations in the complex domain (34Mxx)

Cites Work

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Classical conformal blocks and Painlevé VI
Isomonodromy, Painlevé transcendents and scattering off of black holes
Classical irregular block, \( \mathcal{N} = 2\) pure gauge theory and Mathieu equation
Quantization of the Hitchin moduli spaces, Liouville theory and the geometric Langlands correspondence. I
Seiberg-Witten prepotential from instanton counting
Painlevé VI connection problem and monodromy of \(c\)\ =\ 1 conformal blocks
Vector perturbations of Kerr-\(\mathrm{AdS}_5\) and the Painlevé VI transcendent
Monodromy problem and the boundary condition for some Painlevé equations
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
Painlevé property of monodromy preserving deformation equations and the analyticity of \(\tau\) functions
Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
Infinite conformal symmetry in two-dimensional quantum field theory
Classical conformal blocks and accessory parameters from isomonodromic deformations
Monodromy dependence and connection formulae for isomonodromic tau functions
Solving Heun's equation using conformal blocks
Conformal field theory of Painlevé VI
Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories
Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
Isomonodromic tau-functions from Liouville conformal blocks
Remarks on holographic models of the Kerr-\( \mathrm{AdS}_5\) geometry
Accessory parameters in confluent Heun equations and classical irregular conformal blocks
Black hole quasinormal modes and Seiberg-Witten theory
Quantum spectral problems and isomonodromic deformations
Liouville correlation functions from four-dimensional gauge theories
Eulerian orientations and the six-vertex model on planar maps
Kerr-De Sitter quasinormal modes via accessory parameter expansion
Instanton counting on blowup. I: 4-dimensional pure gauge theory
Kerr scattering coefficients via isomonodromy
CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
Irregular Liouville correlators and connection formulae for Heun functions
How instanton combinatorics solves Painlevé VI, V and IIIs
On the existence of monodromies for the Rabi model
Quantization of Integrable Systems and Four Dimensional Gauge Theories
Quasinormal modes of black holes and black branes
Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations
Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI
Irregular conformal blocks and connection formulae for Painlevé V functions
Zeros of the isomonodromic tau functions in constructive conformal mapping of polycircular arc domains: the n-vertex case
High-order asymptotics for the spin-weighted spheroidal equation at large real frequency
Schwarz–Christoffel accessory parameter for quadrilaterals via isomonodromy
Perturbative connection formulas for Heun equations

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