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

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

2009-04-06

arxiv.org/abs/0904.0911v2

Communications in Number Theory and Physics 3, 531--554 (2009)

Physics

Mathematical Physics

19 pages, 1 figure

Scientific paper

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.

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