Vertex operator algebras and weak Jacobi forms

  title={Vertex operator algebras and weak Jacobi forms},
  author={Matthew Krauel and G. Mason},
  journal={arXiv: Quantum Algebra},
Let $V$ be a strongly regular vertex operator algebra. For a state $h \in V_1$ satisfying appropriate integrality conditions, we prove that the space spanned by the trace functions Tr$_Mq^{L(0)-c/24}\zeta^{h(0)} ($M$ a $V$-module) is a vector-valued weak Jacobi form of weight 0 and a certain index $ /2$. We discuss refinements and applications of this result when $V$ is holomorphic, in particular we prove that if $g = e^{h(0)}$ is a finite order automorphism then Tr$_V q^{L(0)-c/24}g$ is a… Expand
Jacobi trace functions in the theory of vertex operator algebras
Zhu reduction for Jacobi $n$-point functions and applications
Derived equivalences of K3 surfaces and twined elliptic genera
One-point theta functions for vertex operator algebras
The theory of vector-modular forms for the modular group