Special Geometry and Space-time Signature
arXiv:1706.05162 · doi:10.1016/j.physletb.2017.08.021
Abstract
We construct N=2 four and five-dimensional supergravity theories coupled to vector multiplets in various space-time signatures (t,s), where t and s refer, respectively, to the number of time and spatial dimensions. The five-dimensional supergravity theories, t+s=5, are constructed by investigating the integrability conditions arising from Killing spinor equations. The five-dimensional supergravity theories can also be obtained by reducing Hull's eleven-dimensional supergravities on a Calabi-Yau threefold. The dimensional reductions of the five-dimensional supergravities on space and time-like circles produce N=2 four-dimensional supergravity theories with signatures (t-1,s) and (t,s-1) exhibiting projective special (para)-Kähler geometry.
arXiv comment13 pages
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- Solutions of D=4 Gauged Pseudo-Supergravity
- Flow Equations In Arbitrary Signature
- Cosmological Solutions, a New Wick-Rotation, and the First Law of Thermodynamics
- Supersymmetry algebras in arbitrary signature and their R-symmetry groups
- Neutral Signature Gauged Supergravity Solutions