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On explicit free field realization of current algebras
Authors:Wen-Li Yang  Yao-Zhong Zhang  
Affiliation:aInstitute of Modern Physics, Northwest University, Xian 710069, PR China;bDepartment of Mathematics, University of Queensland, Brisbane, QLD 4072, Australia
Abstract:
We construct the explicit free field representations of the current algebras so(2n)k, so(2n+1)k and sp(2n)k for a generic positive integer n and an arbitrary level k. The corresponding energy–momentum tensors and screening currents of the first kind are also given in terms of free fields.
Keywords:Conformal field theory   Affine current algebra   Free field realization
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