Integration of the SL(2,R)/U(1) Gauged WZNW Theory by Reduction and Quantum Parafermions

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Using a gauge invariant reduction we directly integrate the SL(2,R)/U(1) WZNW theory. We prove that the conserved parafermions of this theory are coset currents. Quantum mechanically, the parafermion algebra, the energy-momentum tensor, and `auxiliary' parafermions are deformed in a self-consistent manner.
21 pages. In chapter 5 the symplectic 2-form rather than the 1-form is considered. Misprints in equations 65 and 86 (66 and A7 in the old version) corrected. Stylistic changes. Theor. Math. Phys., in press

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