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Non-Abelian T-duality as a transformation in Double Field Theory

  • Aybike Çatal-ÖzerEmail author
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Regular Article - Theoretical Physics
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Abstract

Non-Abelian T-duality (NATD) is a solution generating transformation for supergravity backgrounds with non-Abelian isometries. We show that NATD can be de-scribed as a coordinate dependent O(d,d) transformation, where the dependence on the coordinates is determined by the structure constants of the Lie algebra associated with the isometry group. Besides making calculations significantly easier, this approach gives a natural embedding of NATD in Double Field Theory (DFT), a framework which provides an O(d,d) covariant formulation for effective string actions. As a result of this embedding, it becomes easy to prove that the NATD transformed backgrounds solve supergravity equations, when the isometry algebra is unimodular. If the isometry algebra is non-unimodular, the generalized dilaton field is forced to have a linear dependence on the dual coordinates, which implies that the resulting background solves generalized supergravity equations.

Keywords

String Duality Flux compactifications 
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© The Author(s) 2019

Authors and Affiliations

  1. 1.Department of Mathematicsİstanbul Technical UniversityIstanbulTurkey

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