Exact Operator Solution for Liouville Theory with $q$ A Root of Unity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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This paper is withdrawn due to the incorrect handling of some formulas

Scientific paper

The exact operator solution for quantum Liouville theory constructed for the
generic quantum deformation parameter $q$ is extended to the case with $q$
being a root of unity. The screening charge operator becomes nilpotent in such
cases and arbitrary Liouville exponentials can be obtained in finite
polynomials of the screening charge.

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