English

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

Mathematical Physics 2009-12-01 v2 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.0904.0911,
  title  = {Superconformal Algebras and Mock Theta Functions 2. Rademacher Expansion for K3 Surface},
  author = {Tohru Eguchi and Kazuhiro Hikami},
  journal= {arXiv preprint arXiv:0904.0911},
  year   = {2009}
}

Comments

19 pages, 1 figure