2D induced gravity from canonically gauged WZNW system
نویسندگان
چکیده
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 prove that the resulting effective theory coincides with the induced gravity in 2D. The geometric properties of the induced gravity are obtained out of the gauge properties of the WZNW system with the help of the Dirac bracket formalism.
منابع مشابه
Gauge connection between the WZNW system and 2D induced gravity
We introduce a consistent gauge extension of the SL(2, R) WZNW system, defined by a difference of two simple WZNW actions. By integrating out some dynamical variables in the functional integral, we show that the resulting effective theory coincides with the induced gravity in 2D. General solutions of both theories are found and related to each other. 1 Gauge extension of the WZNW system Dynamic...
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 کاملA 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 کاملThe Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
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. To incorporate worldsheet diffeomorphisms we need the quartet of ghosts (bzz, c , βzz, γ ) for topological gravity. The currents of this combined system form an N = 2 superconformal algebra. The model has vanishing central charge and contains two ant...
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 کامل