Irregular Liouville correlators and connection formulae for Heun functions
High Energy Physics - Theory
2022-11-30 v3 General Relativity and Quantum Cosmology
Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We perform a detailed study of a class of irregular correlators in Liouville Conformal Field Theory, of the related Virasoro conformal blocks with irregular singularities and of their connection formulae. Upon considering their semi-classical limit, we provide explicit expressions of the connection matrices for the Heun function and a class of its confluences. Their calculation is reduced to concrete combinatorial formulae from conformal block expansions.
Cite
@article{arxiv.2201.04491,
title = {Irregular Liouville correlators and connection formulae for Heun functions},
author = {Giulio Bonelli and Cristoforo Iossa and Daniel Panea Lichtig and Alessandro Tanzini},
journal= {arXiv preprint arXiv:2201.04491},
year = {2022}
}
Comments
61 pages, many diagrams, 2 figures, huge list of symbols, comments welcome