Modular differential equations and null vectors
High Energy Physics - Theory
2012-01-30 v3
Abstract
We show that every modular differential equation of a rational conformal field theory comes from a null vector in the vacuum Verma module. We also comment on the implications of this result for the consistency of the extremal self-dual conformal field theories at c=24 k.
Cite
@article{arxiv.0804.0489,
title = {Modular differential equations and null vectors},
author = {Matthias R. Gaberdiel and Christoph A. Keller},
journal= {arXiv preprint arXiv:0804.0489},
year = {2012}
}
Comments
28 pages, LaTeX, v2: added appendix containing details of proof; version published in JHEP, v3: corrected typos in appendix