Canonical Quantization of the Liouville Theory, Quantum Group Structures, and Correlation Functions

Details Canonical Quantization of the Liouville Theory, Quantum Group Structures, and Correlation Functions Canonical Quantization of the Liouville Theory, Quantum Group Structures, and Correlation Functions

1992-08-28

arxiv.org/abs/hep-th/9208075v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, talk

Scientific paper

We describe a self-consistent canonical quantization of Liouville theory in terms of canonical free fields. In order to keep the non-linear Liouville dynamics, we use the solution of the Liouville equation as a canonical transformation. This also defines a Liouville vertex operator. We show, in particular, that a canonical quantized conformal and local quantum Liouville theory has a quantum group structure, and we discuss correlation functions for non-critical strings.

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