• Corpus ID: 121421651

M ar 2 01 2 On the geometry of double field theory by Izu Vaisman

  title={M ar 2 01 2 On the geometry of double field theory by Izu Vaisman},
  • Published 2013
  • Mathematics
Double field theory was developed by theoretical physicists as a way to encompass T -duality. In this paper, we express the basic notions of the theory in differential-geometric invariant terms, in the framework of paraKähler manifolds. We define metric algebroids, which are vector bundles with a bracket of cross sections that has the same metric compatibility property as a Courant bracket. We show that a double field gives rise to two canonical connections, whose scalar curvatures can be… 

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