Abstract We study the abelian Thirring model when the fermionic fields have non-conserved chiral charge: Δ Q 5 = N. One of the main features we find for this model is the dependence of the Virasoro central charge on both the Thirring coupling constant and N. We show how to evaluate correlation functions and in particular we compute the conformal dimensions for fermions and fermionic bilinears, which depend on the fermionic chiral charge. Finally, we build primary fields with arbitrary conformal weight.Facultad de Ciencias Exactas