Towards a Strong Coupling Liouville Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/0370-2693(94)91363-3

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.

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