Poisson-Lie transformations and Generalized Supergravity Equations

Abstract

In this paper we investigate Poisson-Lie transformation of dilaton and vector field J appearing in Generalized Supergravity Equations. While the formulas appearing in literature work well for isometric sigma models, we present examples for which Generalized Supergravity Equations are not preserved. Therefore, we suggest modification of these formulas.

arXiv commentpublished version

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Cited by in corpus (5)

• Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations
• Jacobi-Lie Models and Supergravity Equations
• Generalized Supergravity Equations for the WZW Model
• Integrable deformed H${}_{{}_4}$ WZW models and their non-Abelian duals as solutions of generalized supergravity equations
• Plane-parallel waves as Jacobi-Lie models