1005.2846 (J. Teschner)

Quantization of the Hitchin moduli spaces, Liouville theory, and the
geometric Langlands correspondence I    [PDF]

J. Teschner

We discuss the relation between Liouville theory and the Hitchin integrable system, which can be seen in two ways as a two step process involving quantization and hyperkaehler rotation. The modular duality of Liouville theory and the relation between Liouville theory and the SL(2)-WZNW-model give a new perspective on the geometric Langlands correspondence and on its relation to conformal field theory.

View original: http://arxiv.org/abs/1005.2846