Quantum currents in the Coset Space SU(2)/U(1)
Xiang-Mao Ding, Bo-Yu Hou, Liu Zhao
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 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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