Differential operators for elliptic genera
arXiv:0904.1831
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 (6)
- Modular invariance of trace functions in orbifold theory
- Three-Dimensional Gravity Revisited
- Modular differential equations and null vectors
- Constraints on extremal self-dual CFTs
- Selbstduale Vertexoperatorsuperalgebren und das Babymonster (Self-dual Vertex Operator Super Algebras and the Baby Monster)
- Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity