Superconformal Algebras and Mock Theta Functions 2. Rademacher Expansion for K3 Surface

Abstract

The elliptic genera of the K3 surfaces, both compact and non-compact cases, are studied by using the theory of mock theta functions. We decompose the elliptic genus in terms of the N=4 superconformal characters at level-1, and present an exact formula for the coefficients of the massive (non-BPS) representations using the Poincare-Maass series.

19 pages, 1 figure

References in corpus (4)

• Mock Theta Functions
• A Black Hole Farey Tail
• Quantum Knot Invariant for Torus Link and Modular Forms
• Modular Forms and Elliptic Genera for ALE Spaces

Cited by in corpus (3)

• Notes on the K3 Surface and the Mathieu group M_24
• Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes
• Refined Partition Functions for Open Superstrings with 4, 8 and 16 Supercharges