English

Differential operators for elliptic genera

High Energy Physics - Theory 2009-04-14 v1 Number Theory

Abstract

Using the generalisation of Zhu's recursion relations to N=2 superconformal field theories we construct modular covariant differential operators for weak Jacobi forms. We show that differential operators of this type characterise the elliptic genera of N=2 superconformal minimal models, and sketch how they can be used to constrain extremal N=2 superconformal field theories.

Keywords

Cite

@article{arxiv.0904.1831,
  title  = {Differential operators for elliptic genera},
  author = {Matthias R. Gaberdiel and Christoph A. Keller},
  journal= {arXiv preprint arXiv:0904.1831},
  year   = {2009}
}

Comments

18 pages

R2 v1 2026-06-21T12:50:30.709Z