Extended Riemannian Geometry I: Local Double Field Theory

Andreas Deser, Christian Saemann

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21 Citations (Scopus)
60 Downloads (Pure)


We present an extended version of Riemannian geometry suitable for the description of current formulations of double field theory (DFT). This framework is based on graded manifolds and it yields extended notions of symmetries, dynamical data and constraints. In special cases, we recover general relativity with and without 1-, 2- and 3-form gauge potentials as well as DFT. We believe that our extended Riemannian geometry helps to clarify the role of various constructions in DFT. For example, it leads to a covariant form of the strong section condition. Furthermore, it should provide a useful step towards global and coordinate invariant descriptions of T- and U-duality invariant field theories.
Original languageEnglish
Pages (from-to)2297–2346
Number of pages50
JournalAnnales Henri Poincaré
Issue number8
Early online date28 Jun 2018
Publication statusPublished - Aug 2018


  • hep-th
  • math-ph
  • math.DG
  • math.MP


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