Liouville Theory and Elliptic Genera
High Energy Physics - Theory
2013-04-09 v2
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.
Cite
@article{arxiv.0808.2376,
title = {Liouville Theory and Elliptic Genera},
author = {Anne Taormina},
journal= {arXiv preprint arXiv:0808.2376},
year = {2013}
}
Comments
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