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.