Abstract
Operator quantization of the WZNW theory invariant with respect to an affine Lie algebra ĝ with a constrained û(1)d subalgebra is performed using Dirac's procedure. Upon quantization the initial energy-momentum tensor is replaced by the g/u(1)d coset construction. The sû(2) WZNW theory with a constrained û(1) current is equivalent to the su(2)/u(1) conformal field theory.
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