A differential equation for a four-point correlation function in Liouville field theory and elliptic four-point conformal blocks

2009/02/28 by V.A. Fateev, V. A. Fateev, Alexey Litvinov +4 · 54 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Correlation function (quantum field theory) #Differential equation #Field (mathematics) #Function (biology) #Geometry #Liouville field theory #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Point (geometry) #Pure mathematics #Quantum mechanics #Thermal quantum field theory #Torus #hep-th

paper · pdf · doi:10.1088/1751-8113/42/30/304011

published in Journal of Physics A Mathematical and Theoretical 42(30), 304011 (Institute of Physics)

arxiv created 2009/04/17 · openalex publication_date 2009/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

29 pp.

Citations

• Perturbed Conformal Field Theory on Fluctuating Sphere
• Special functions, conformal blocks, Bethe ansatz and SL(3, Z)
• Infinite conformal symmetry in two-dimensional quantum field theory
• Quantum geometry of bosonic strings
• The number of eigenstates: counting function and heat kernel
• Conformal symmetry in two-dimensional space: Recursion representation of conformal block
• Correlation functions in conformal Toda field theory II