Exact O(d,d) Transformations in WZW Models

Abstract

Using the algebraic Hamiltonian approach, we derive the exact to all orders O(d,d) transformations of the metric and the dilaton field in WZW and WZW coset models for both compact and non-compact groups. It is shown that under the exact $O(d)\times O(d)$ transformation only the leading order of the inverse metric $G^{-1}$ is transformed. The quantity $\sqrt{G}\exp (\Phi )$ is the same in all the dual models and in particular is independent of k. We also show that the exact metric and dilaton field that correspond to G/U(1)^d WZW can be obtained by applying the exact O(d,d) transformations on the (ungauged) WZW, a result that was known to one loop order only. As an example we give the O(2,2) transformations in the $SL(2,R)$ WZW that transform to its dual exact models. These include also the exact 3D black string and the exact 2D black hole with an extra $U(1)$ free field.

23 pages. preprint TAUP-2129-93

References in corpus (24)

• Duality Symmetries from Non--Abelian Isometries in String Theories
• Exact Three Dimensional Black Holes in String Theory
• Some Global Aspects of Duality is String Theory
• Exact Black String Solutions in Three Dimensions
• Twisting Classical Solutions in Heterotic String Theory
• Generalized Duality in Curved String-Backgrounds
• Axial Vector Duality as a Gauge Symmetry and Topology Change in String Theory
• Exact Duality Symmetries in CFT and String Theory
• Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime
• Marginal Deformations of WZNW and Coset Models from O(d,d) Transformation
• Boosting Away Singularities from Conformal String Backgrounds
• Finite sigma models and exact string solutions with Minkowski signature metric
• Conformally Exact Results for SL(2,R)\times SO(1,1)^{d-2}/SO(1,1) Coset Models
• On field redefinitions and exact solutions in string theory
• Antisymmetric tensor coupling and conformal invariance in sigma models corresponding to gauged WZNW theories
• Exact Effective Action and Spacetime Geometry in Gauged WZW Models
• Duality, Marginal Perturbations and Gauging
• A class of finite two - dimensional sigma models and string vacua
• Exact Bosonic and Supersymmetric String Black Hole Solutions
• Duality invariant class of exact string backgrounds
• Chiral gauged WZNW models and heterotic string backgrounds
• Gauged String Actions and O($\tilde{d}$, $\tilde{d}$) Transformation
• Semiclassical vs. Exact Solutions of Charged Black Hole in Four Dimensions and Exact O(d,d) Duality
• Coset Models Obtained by Twisting WZW Models and Stringy Charged Black Holes in Four Dimensions

Cited by in corpus (3)

• Current-Current Deformations of Conformal Field Theories, and WZW Models
• Semiclassical vs. Exact Solutions of Charged Black Hole in Four Dimensions and Exact O(d,d) Duality
• Non-Singular String-Cosmologies From Exact Conformal Field Theories