Non-abelian T-folds

Abstract

We discuss the conditions under which non-abelian T-duality can be considered as a chain of abelian T-dualities. Motivated by these results, we propose that the topology of a non-abelian T-dual should be phrased in the language of T-folds, and give the explicit O(d, d) transformations which can be used to glue the dual space.

arXiv comment17 pages. Minor revisions

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Cited by in corpus (15)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Poisson-Lie U-duality in Exceptional Field Theory
• E${}_{6(6)}$ Exceptional Drinfel'd Algebras
• Exploring Exceptional Drinfeld Geometries
• Non-Abelian T-duality as a Transformation in Double Field Theory
• On current algebras, generalised fluxes and non-geometry
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• Global Double Field Theory is Higher Kaluza-Klein Theory
• Generalised U-dual solutions via ISO(7) gauged supergravity
• On 10 dimensional Exceptional Drinfel'd Algebras
• T-folds as Poisson-Lie plurals
• The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective
• Non-isometric U-dualities
• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
• Generalised U-dual solutions in supergravity