Exact Duality and Nilpotent Gauging

Abstract

We obtain new duality transformations relating some exact string backgrounds, by defining the nilpotent duality. We show that the ungauged $SL(2,R)$ WZW model transforms by its action into the three dimensional plane wave geometry. We also give the inverse transformation from the plane wave to the $SL(2,R)$ model and discuss the implications of the results.

12 pages

Cited by in corpus (7)

• String interactions in gravitational wave backgrounds
• Strings in homogeneous gravitational waves and null holography
• Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds
• Dynamical Topology Change, Compactification and Waves in String Cosmology
• Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry
• Superstrings on NSNS PP-Waves and Their CFT Duals
• On the Exceptional Gauged WZW Theories