Sress-Tensor for parafermions from the generalized Frenkel-Kac construction of affine algebra

Abstract

I discuss a realization of stress-tensor for parafermion theories following the generalized Frenkel-Kac construction for higher level Kac-Moody algebras. All the fields are obtained from $d$=rank free bosons compactified on torus. This gives an alternative realization of Virasoro algebra in terms of a non-local correction of a free field construction which does not fit the usual background charge of Feigin-Fuchs approach.

Comments and references added, 8 pages, Revtex

References in corpus (2)

• Algebras, BPS States, and Strings
• The Sugawara generators at arbitrary level

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