Virasoro blocks at large exchange dimension
High Energy Physics - Theory
2021-02-03 v3
Abstract
In this paper, we analyze Virasoro conformal blocks in the limit when the operator exchange dimension is taking to be large in comparison with the other parameters dependence of the block. We do this by using Zamolodchikov's recursion relations. We found a dramatically simplified solution at leading order in an inverse power expansion in large exchange conformal dimension in terms of a quasi-modular form in an Eisenstein series representation. We compare this solution with existing results obtained previously by using AGT correspondence.
Cite
@article{arxiv.2006.01237,
title = {Virasoro blocks at large exchange dimension},
author = {Carlos Cardona},
journal= {arXiv preprint arXiv:2006.01237},
year = {2021}
}
Comments
20 pages, No figures. References and acknowledgments updated. Subsection (4.2) added, appendix added. Version matching journal version