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arXiv · hep-th/9710036

Constrained current algebras and $g/u(1)^d$ conformal field theories

A. V. Bratchikov
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Abstract

Operator quantization of the WZNW theory invariant with respect to an affine Kac-Moody algebra $\hat g$ with constrained $\hat {u}(1)^d$ currents is performed using Dirac's procedure. Upon quantization the initial energy-momentum tensor is replaced by the $g/u(1)^d$ coset construction. The $\hat {su}(2)$ WZNW theory with a constrained $\hat u(1)$ current is equivalent to the $su(2)/u(1)$ conformal field theory.

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A. V. Bratchikov. 1997-10-04. Constrained current algebras and $g/u(1)^d$ conformal field theories. https://doi.org/10.1016/s0370-2693(97)01547-5

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