Towards a double field theory on para-Hermitian manifolds

  title={Towards a double field theory on para-Hermitian manifolds},
  author={Izu Vaisman},
  journal={Journal of Mathematical Physics},
  • I. Vaisman
  • Published 2 September 2012
  • Mathematics
  • Journal of Mathematical Physics
In a previous paper, we have shown that the geometry of double field theory has a natural interpretation on flat para-Kahler manifolds. In this paper, we show that the same geometric constructions can be made on any para-Hermitian manifold. The field is interpreted as a compatible (pseudo-)Riemannian metric. The tangent bundle of the manifold has a natural, metric-compatible bracket that extends the C-bracket of double field theory. In the para-Kahler case, this bracket is equal to the sum of… 
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    Journal of Mathematical Physics
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