Realization of \hat{sl}_2(C) at the Critical Level

Published 30 Jul 2013 in math.QA | (1307.7896v1)

Abstract: An explicit realization of the affine Lie algebra \hat{sl}_2(C) at the critical level is constructed using a mixture of bosons and parafermions. Subsequently a representation of the associated Lepowsky-Wilson Z-algebra is given on a space of the tensor product of bosonic fields and certain semi-infinite wedge products.

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