Vector-Chiral Equivalence in Null Gauged WZNW Theory
نویسندگان
چکیده
We consider the standard vector and chiral gauged WZNW models by their gauged maximal null subgroups and show that they can be mapped to each other by a special transformation. We give an explicit expression for the map in the case of the classical Lie groups AN , BN , CN , DN , and note its connection with the duality map for the Riemmanian globally symmetric spaces.
منابع مشابه
A Duality-like Transformation in Wznw Models Inspired from Dual Riemannian Globally Symmetric Spaces
We investigate transformations on the group manifold element and gauged elds on two diierent kinds of gauged WZNW models and in this way obtain a duality-like transformation between chiral and vector gauged WZNW models with null gauged subgroups, that exactly converts the chiral gauged WZNW action to vector gauged WZNW action and vice versa. These duality-like transformations correspond to the ...
متن کاملChiral gauged WZNW models and heterotic string backgrounds
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...
متن کاملOn the Exceptional Gauged WZW Theories
We consider two different versions of gauged WZW theories with the exceptional groups and gauged with any of theirs null subgroups. By constructing suitable automorphism, we establish the equivalence of these two theories. On the other hand our automorphism, relates the two dual irreducible Riemannian globally symmetric spaces with different characters based on the corresponding exceptional Lie...
متن کاملOn the Lagrangian Realization of the WZNW Reductions
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 ...
متن کاملCausal Poisson Brackets of the SL(2,R) WZNW Model and its Coset Theories
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...
متن کامل