Integration of the $\mathrm{SL}(2,\mathbb R)/\mathrm{U}(1)$ Gauged WZNW Theory by Reduction and Quantum Parafermions
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 249-267

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Using a gauge-invariant reduction, we directly integrate the $\mathrm{SL}(2,\mathbb R)/\mathrm{U}(1)$ WZNW theory. We prove that the conserved parafermions in this theory are coset currents. The parafermion algebra, the energy-momentum tensor, and “auxiliary” parafermions are quantized in a self-consistent manner.
@article{TMF_2001_128_2_a7,
     author = {G. Weigt and G. P. Jorjadze and C. Ford},
     title = {Integration of the $\mathrm{SL}(2,\mathbb R)/\mathrm{U}(1)$ {Gauged} {WZNW} {Theory} by {Reduction} and {Quantum} {Parafermions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {128},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a7/}
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G. Weigt; G. P. Jorjadze; C. Ford. Integration of the $\mathrm{SL}(2,\mathbb R)/\mathrm{U}(1)$ Gauged WZNW Theory by Reduction and Quantum Parafermions. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 249-267. http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a7/