Exact Operator Solution for Liouville Theory with q A Root of Unity
T. Fujiwara, H. Igarashi, Y. Takimoto
Abstract
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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