Advances in Theoretical and Mathematical Physics

Volume 15 (2011)

Number 2

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

Pages: 471 – 564

DOI: http://dx.doi.org/10.4310/ATMP.2011.v15.n2.a6

Author

J. Teschner

Abstract

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 hyperkähler 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.

Full Text (PDF format)