Wk structure of generalized Frenkel-Kac construction for SU(2)-level k Kac-Moody algebra
Vincenzo Marotta
Abstract
Wk structure underlying the tensverse realization of SU(2) at level k is analyzed. Extension of the equivalence existing between covariant and light-cone gauge realization of affine Kac-Moody algebra to Wk algebras is given. Higher spin generators related to parafermions are extracted from the operator product algebra of the generators and are showed to be written in terms of only one free boson compactified on a circle.
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