# Towards a double field theory on para-Hermitian manifolds

@article{Vaisman2013TowardsAD, title={Towards a double field theory on para-Hermitian manifolds}, author={Izu Vaisman}, journal={Journal of Mathematical Physics}, year={2013}, volume={54}, pages={123507} }

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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