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Quantum currents in the Coset Space SU(2)/U(1)

Xiang-Mao Ding·Bo-Yu Hou·Liu Zhao
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Abstract

We propose a rational quantum deformed nonlocal currents in the homogenous space $SU(2)_k/U(1)$, and in terms of it and a free boson field a representation for the Drinfeld currents of Yangian double at a general level $k=c$ is obtained. In the classical limit $\hbar \to 0$, the quantum nonlocal currents become $SU(2)_k$ parafermion, and the realization of Yangian double becomes the parafermion realization of $SU(2)_k$ current algebra.

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Xiang-Mao Ding, Bo-Yu Hou, Liu Zhao. 2000-03-07. Quantum currents in the Coset Space SU(2)/U(1). https://arxiv.org/abs/math/0003041

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