Coset conformal field theories with abelian isotropy groups

Abstract

Conformal field theories based on $g/u(1{)}^d$ coset constructions where $g$ is a reductive algebra are studied.It is shown that the theories are equivalent to constrained WZNW models for $g.$ Generators of extended symmetry algebras and primary fields are constructed.

7 pages, Latex, misprints corrected