Liouville Theory and Elliptic Genera

Details Liouville Theory and Elliptic Genera Liouville Theory and Elliptic Genera

2008-08-18

arxiv.org/abs/0808.2376v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Contribution to the Proceedings of the conference "30 Years of Mathematical Methods in High Energy Physics", Kyoto,

Scientific paper

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.

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