Accessory parameters in confluent Heun equations and classical irregular conformal blocks
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Publication:2051461
DOI10.1007/s11005-021-01400-6zbMath1480.81067arXiv2101.05715OpenAlexW3214055867MaRDI QIDQ2051461
Publication date: 24 November 2021
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05715
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lamé, Mathieu, and spheroidal wave functions (33E10)
Related Items (7)
Zeros of the isomonodromic tau functions in constructive conformal mapping of polycircular arc domains: the n-vertex case ⋮ Quantum spectral problems and isomonodromic deformations ⋮ Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ Quasinormal modes from Penrose limits ⋮ Irregular Liouville correlators and connection formulae for Heun functions ⋮ Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models ⋮ Perturbative connection formulas for Heun equations
Uses Software
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
- Nekrasov functions and exact Bohr-Sommerfeld integrals
- On combinatorial expansion of the conformal blocks arising from AGT conjecture
- Quantization of the Hitchin moduli spaces, Liouville theory and the geometric Langlands correspondence. I
- Seiberg-Witten prepotential from instanton counting
- Infinite conformal symmetry in two-dimensional quantum field theory
- Exact WKB analysis of \( \mathcal{N} =2\) gauge theories
- Classical irregular blocks, Hill's equation and PT-symmetric periodic complex potentials
- Classical conformal blocks and accessory parameters from isomonodromic deformations
- On Painlevé/gauge theory correspondence
- Solving Heun's equation using conformal blocks
- Non-perturbative quantum mechanics from non-perturbative strings
- Full spectrum of the Rabi model
- A Riemann-Hilbert approach to the Heun equation
- Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories
- NIST digital library of mathematical functions
- Movable poles of the solutions of Painlevé's equation of the third kind and their relation with Mathieu functions
- BPS relations from spectral problems and blowup equations
- Semi-classical Virasoro blocks: proof of exponentiation
- Non-perturbative approaches to the quantum Seiberg-Witten curve
- Liouville correlation functions from four-dimensional gauge theories
- Argyres-Douglas theories and Liouville irregular states
- Wild quiver gauge theories
- Classical Virasoro irregular conformal block
- Classical Virasoro irregular conformal block. II
- Kerr scattering coefficients via isomonodromy
- Riemann-Hilbert correspondence and blown up surface defects
- Higher length-twist coordinates, generalized Heun's opers, and twisted superpotentials
- Analytical eigenstates for the quantum Rabi model
- On the monodromy problem for the four-punctured sphere
- Exact WKB analysis and cluster algebras
- On the existence of monodromies for the Rabi model
- Quantization of Integrable Systems and Four Dimensional Gauge Theories
- Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations
- Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
- Colliding holes in Riemann surfaces and quantum cluster algebras
- Painlevé Monodromy Manifolds, Decorated Character Varieties, and Cluster Algebras
- Irregular conformal blocks and connection formulae for Painlevé V functions
- Exact solutions of Regge–Wheeler equation and quasi-normal modes of compact objects
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