Analytic properties of the Virasoro modular kernel
High Energy Physics - Theory
2017-06-30 v2
Abstract
On the space of generic conformal blocks the modular transformation of the underlying surface is realized as a linear integral transformation. We show that the analytic properties of conformal block implied by Zamolodchikov's formula are shared by the kernel of the modular transformation and illustrate this by explicit computation in the case of the one-point toric conformal block.
Cite
@article{arxiv.1610.02000,
title = {Analytic properties of the Virasoro modular kernel},
author = {Nikita Nemkov},
journal= {arXiv preprint arXiv:1610.02000},
year = {2017}
}
Comments
12 pages, v2: minor corrections and additional references