Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations

Abstract

We investigate two types of transformations that keep NS-NS Generalized Supergravity Equations satisfied : $\chi$-symmetry that shifts dilaton and gauge transformations that change both dilaton and vector field $J$. Due to these symmetries there is a large set of dilatons and vector fields $J$ that (for a fixed metric and B-field) satisfy Generalized Supergravity Equations but only some of them can be be used as input for Poisson--Lie transformations. Conditions that define the admissible dilatons are given and examples are presented.

arXiv commentPublished version

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Cited by in corpus (4)

• 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