English

Modular differential equations for characters of RCFT

High Energy Physics - Theory 2014-11-20 v2

Abstract

We discuss methods, based on the theory of vector-valued modular forms, to determine all modular differential equations satisfied by the conformal characters of RCFT; these modular equations are related to the null vector relations of the operator algebra. Besides describing effective algorithmic procedures, we illustrate our methods on an explicit example.

Cite

@article{arxiv.1004.2579,
  title  = {Modular differential equations for characters of RCFT},
  author = {Peter Bantay},
  journal= {arXiv preprint arXiv:1004.2579},
  year   = {2014}
}

Comments

13 pages

R2 v1 2026-06-21T15:10:40.203Z