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

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, N = 2 Euclidean supergravity coupled to vector- and hyper-multiplets. We show that the scalar target manifold of the vector-multiplets is projective special para-Kahler, and is therefore of split signature, whereas the target manifold of the hyper-multiplets is (positive-definite) quaternionic Kahler.

24 pages, 2 figures. Version 3: Updated introduction, new concise calculation of d\check{A} added, references added and typos corrected. Published in Classical and Quantum Gravity

References in corpus (2)

• Euclidean N=2 Supergravity
• Para-Complex Geometry and Gravitational Instantons

Cited by in corpus (4)

• EFT strings and emergence
• Hypersymplectic Geometry and Supersymmetric Solutions in (t,s) 5D Supergravity
• Type-II Calabi-Yau compactifications, T-duality and special geometry in general spacetime signature
• Supersymmetry algebras in arbitrary signature and their R-symmetry groups