10D to 4D Euclidean supergravity over a Calabi-Yau three-fold. (11th December 2015)

• Record Type: Journal Article
• Authors: Sabra, Wafic A; Vaughan, Owen
• Is Part Of: Classical and quantum gravity. Volume 33:Number 1(2016:Jan.)
• Publication Date: 2015-12-11
• Subjects: string compactifications -- supergravity -- special geometry -- euclidean spacetime signature; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/33/1/015010
• Languages: English
• ISSNs: 0264-9381

Abstract

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.