WZNW MODELS FROM NONSTANDARD BILINEAR-FORMS

We study the WZNW models based on nonstandard bilinear forms. We appro ach the problem from algebraic, perturbative and functional exact meth ods. It is shown that even in the case of integer k we can find irrati onal CFTs. We prove that when the base group is noncompact with non-Ab elian maximal compact subgroup, the affine algebra representations are nonunitary.