Bootstrapping Chiral CFTs at Genus Two
High Energy Physics - Theory
2017-05-18 v1
Abstract
Genus two partition functions of 2d chiral conformal field theories are given by Siegel modular forms. We compute their conformal blocks and use them to perform the conformal bootstrap. The advantage of this approach is that it imposes crossing symmetry of an infinite family of four point functions and also modular invariance at the same time. Since for a fixed central charge the ring of Siegel modular forms is finite dimensional, we can perform this analytically. In this way we derive bounds on three point functions and on the spectrum of such theories.
Cite
@article{arxiv.1705.05862,
title = {Bootstrapping Chiral CFTs at Genus Two},
author = {Christoph A. Keller and Gregoire Mathys and Ida G. Zadeh},
journal= {arXiv preprint arXiv:1705.05862},
year = {2017}
}
Comments
27 pages + appendices, 9 figures