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

Physics – High Energy Physics – High Energy Physics - Theory

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Comments and references added, 8 pages, Revtex

Scientific paper

10.1142/S0217732398000929

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.

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