Canonical quantization of the Liouville theory, quantum group structures, and correlation functions

We describe a self-consistent canonical quantization of the 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.

talk
field theory: Liouville
dimension: 2
quantization: constraint
Hamiltonian formalism
correlation function
quantum group
algebra: exchange
exchange: algebra
string model

References(0)

Figures(0)

Loading ...