Towards a Strong Coupling Liouville Gravity

Abstract

A possibility of strong coupling quantum Liouville gravity is investigated via infinite dimensional representations of $\qslc$ with $q$ at a root of unity. It is explicitly shown that vertex operator in this model can be written by a tensor product of a vertex operator of the classical Liouville theory and that of weak coupling quantum Liouville theory. Some discussions about the strong coupling Liouville gravity within this formulation are given.

10 pages, Latex file, to appear in Phys. Lett. B

References in corpus (3)

• Gravity in Non-Commutative Geometry
• Liouville Theory: Quantum Geometry of Riemann Surfaces
• Solving the Strongly Coupled 2D Gravity: 2. Fractional-Spin Operators, and Topological Three-Point Functions

Cited by in corpus (1)

• A Note on Quantum Liouville Theory via Quantum Group; an Approach to Strong Coupling Liouville Theory