Starting from the Kac–Moody structure of the WZNW model for SL(2, R) and using the general canonical formalism, we formulate a gauge theory invariant under local SL(2, R)× SL(2, R) and diffeomorphisms. This theory represents a gauge extension of the WZNW system, defined by a difference of two simple WZNW actions. By performing a partial gauge fixing and integrating out some dynamical variables,...

We develop a phase space path-integral approach for deriving the Lagrangian realization of the models defined by Hamiltonian reduction of the WZNW theory. We illustrate the uses of the approach by applying it to the models of non-Abelian chiral bosons, W -algebras and the GKO coset construction, and show that the well-known Sonnenschein’s action, the generalized Toda action and the gauged WZNW ...

From the basic chiral and anti-chiral Poisson bracket algebra of the SL(2, R) WZNW model, non-equal time Poisson brackets are derived. Through Hamiltonian reduction we deduce the corresponding brackets for its coset theories. The analysis of WZNWmodels is usually reduced to a separate treatment of its chiral or anti-chiral components [1, 2, 3]. But much simpler results can arise when the contri...

Konstadinos Sfetsos Physics Department, University of Southern California Los Angeles, CA 90089-0484, USA and Institute for Theoretical Physics, Utrecht University Princetonplein 5, TA 3508, The Netherlands and A.A. Tseytlin Theory Division, CERN CH-1211 Geneva 23, Switzerland and Blackett Laboratory, Imperial College London SW7 2BZ, U.K. Abstract We construct new heterotic string backgrounds w...

We use the conformal Ward identities to study the structure of correlation functions in coset conformal field theories. For a large class of primary fields of arbitrary g/h theory a factorization anzatz is found.The corresponding correlation functions are explicitly expressed in terms of correlation functions of two independent WZNW theories for g and h. Coset theories is an important subclass ...

We use the conformal Ward identities to study the structure of correlation functions in coset conformal field theories. For a large class of primary fields of arbitrary g/h theory a factorization anzatz is found.The corresponding correlation functions are explicitly expressed in terms of correlation functions of two independent WZNW theories for g and h. Coset theories is an important subclass ...

g/u(1) d parafermions from constrained WZNW theories. Abstract The conformal field theory based on the g/u(1) d coset construction is treated as the WZNW theory for the affine Lie algebrâ g with the constrainedû(1) d subalgebra.Using a modification of the generalized canonical quantization method generators and primary fields of an extended symmetry algebra are found for arbitrary d.

The precise relationship between the arbitrary monodromy dependent 2-form appearing in the chiral WZNW symplectic form and the ‘exchange r-matrix’ that governs the corresponding Poisson brackets is established. Generalizing earlier results related to diagonal monodromy, the exchange r-matrices are shown to satisfy a new dynamical generalization of the classical modified Yang-Baxter equation, wh...

We present a new development in our approach to the covariant quantization of superstrings in 10 dimensions which is based on a gauged WZNW model. The WZNW action reduces to our earlier free-field quantum action after a field redefinition, and to the GreenSchwarz classical action after constraining the current in Berkovits’ BRST charge to vanish. Physical states form the cohomology of a BRST ch...

We propose exact formulas for the 2and 3-point functions of the WZNW model on the non-compact supergroup OSP(1|2). Using the path integral approach that was recently developed in arXiv:0706.1030 we show how local correlation functions in the OSP(p|2) WZNW models can be obtained from those of N = p supersymmetric Liouville field theory for p = 1, 2. We then employ known results on correlators in...