Differential operators for elliptic genera

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.

18 pages

References in corpus (3)

• Three-Dimensional Gravity Revisited
• Constraints on extremal self-dual CFTs
• Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity