Liouville Theory and Elliptic Genera
arXiv:0808.2376 · doi:10.1143/PTPS.177.203
Abstract
The structure and modular properties of N=4 superconformal characters are reviewed and exploited, in an attempt to construct elliptic genera-like functions by decompactifying K3. The construction is tested against expressions obtained in the context of strings propagating in background ALE spaces of type A(n-1), using the underlying superconformal theory, i.e the tensor product of N=2 minimal with N=2 Liouville theory.
16 pages, Contribution to the Proceedings of the conference "30 Years of Mathematical Methods in High Energy Physics", Kyoto, March 2008, in honour of Prof. Tohru Eguchis 60th birthday; one reference added and clarification on the chronology of derivations of character modular transformations in Section 2