The continuation method and the real analyticity of the accessory parameters: the parabolic case
High Energy Physics - Theory
2022-12-14 v2
Abstract
We give the proof of the real analyticity of the accessory parameters in Liouville field theory as a function of the position of the sources in the case in which in addition to elliptic sources, parabolic sources are present. The method is a non trivial extension of the elliptic case as it requires in an intermediate step the introduction of a regulator. The treatment holds also in the case of the torus. A discussion is given of the extension to higher genus surfaces.
Keywords
Cite
@article{arxiv.2205.06994,
title = {The continuation method and the real analyticity of the accessory parameters: the parabolic case},
author = {Pietro Menotti},
journal= {arXiv preprint arXiv:2205.06994},
year = {2022}
}
Comments
LaTeX, 39 pages, typos corrected