10D to 4D Euclidean supergravity over a Calabi-Yau three-fold

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Abstract
We dimensionally reduce the bosonic sector of 10D Euclidean type IIA supergravity over a Calabi-Yau three-fold. The resulting theory describes the bosonic sector of 4D, Euclidean supergravity coupled to vector- and hyper-multiplets. We show that the scalar target manifold of the vector-multiplets is projective special para-Kähler, and is therefore of split signature, whereas the target manifold of the hyper-multiplets is (positive-definite) quaternionic Kähler.
Funding Information
  • German Science Foundation (Collaborative Research Center (SFB))
  • National Science Foundation (PHY-1415659)

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