Starting with its classical parafermion algebra, we consider the quantisation of the SL(2, R)/U(1) WZNW black hole model.

We study the connection between Zamolodchikov operator-valued relations in Liouville field theory and in the SL(2,R)k WZNW model. In particular, the classical relations in SL(2,R)k can be formulated as a classical Liouville hierarchy in terms of the isotopic coordinates, and their covariance is easily understood in the framework of the AdS3/CFT2 correspondence. Conversely, we find a closed expr...

The gauge action of the Lie groupG on the chiral WZNW phase spaceMǦ of quasiperiodic fields with Ǧ-valued monodromy, where Ǧ ⊂ G is an open submanifold, is known to be a Poisson-Lie (PL) action with respect to any coboundary PL structure on G, if the Poisson bracket on MǦ is defined by a suitable monodromy dependent exchange r-matrix. We describe the momentum map for these symmetries when G is ...

In the conformal field theories having affine SL(2) symmetry, we study the operator product expansion (OPE) involving primary fields in highest weight representations. For this purpose, we analyze properties of primary fields with definite SL(2) weights, and calculate their twoand three-point functions. Using these correlators, we show that the correct OPE is obtained when one of the primary fi...

We study the operator product expansion in the bosonic SU(2)0 and SUSY SU(2)2 WZNW models. We find that these OPEs contain both logarithmic operators and new conserved currents, leading to an extension of the symmetry group.

We find the critical charge for a topologically massive gauge theory for any gauge group, generalising our earlier result for SU(2). The relation between critical charges in TMGT, singular vectors in the WZNW model and logarithmic CFT is investigated.

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. In a recent paper [1] currents, primary fields and generators of ...