Convergence of classical conformal blocks
Abstract
Abstract We give a recursive method to compute the classical conformal blocks in Liouville field theory. The values of the expansion coefficients are given by an algebraic scheme which works to all orders. The algebraic expression of the intervening matrices are explicitly given. With regard to the problem of the convergence of the series we rigorously prove that it has a finite (non zero) convergence radius. We then comment on the relation of the conformal block problem with the Riemann–Hilbert problem.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Matrix Theory and Algorithms
Mathematical functions and polynomials
Publication details
- Journal / source
- Journal of Physics A Mathematical and Theoretical
- Publisher
- IOP Publishing
- Volume
- 59
- Issue
- 29
- Pages
- 295204–295204
- Publication date
- 29 June 2026