Sphere and disk partition functions in Liouville and in matrix integrals
High Energy Physics - Theory
2022-08-10 v1
Abstract
We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk^2 is unambiguous and we find a precise numerical match between the Liouville answer and the matrix integral answer. An application is to show that the sphere partition function in JT gravity is infinite.
Cite
@article{arxiv.2107.01172,
title = {Sphere and disk partition functions in Liouville and in matrix integrals},
author = {Raghu Mahajan and Douglas Stanford and Cynthia Yan},
journal= {arXiv preprint arXiv:2107.01172},
year = {2022}
}
Comments
27 pages