Time-like reductions of five-dimensional supergravity

A bstract In this paper we study the scalar geometries occurring in the dimensional reduction of minimal five-dimensional supergravity to three Euclidean dimensions, and find that these depend on whether one first reduces over space or over time. In both cases the scalar manifold of the reduced theo...

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Bibliographic Details
Published in:The journal of high energy physics 2014-04, Vol.2014 (4), p.1-29, Article 190
Main Authors: Cortés, V., Dempster, P., Mohaupt, T.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Euclidean geometry
High energy physics
Lie groups
Manifolds (mathematics)
Orbits
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Reduction
Relativity Theory
Scalars
String Theory
Subgroups
Supergravity
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Summary:A bstract In this paper we study the scalar geometries occurring in the dimensional reduction of minimal five-dimensional supergravity to three Euclidean dimensions, and find that these depend on whether one first reduces over space or over time. In both cases the scalar manifold of the reduced theory is described as an eight-dimensional Lie group L (the Iwasawa subgroup of G 2(2) ) with a left-invariant para-quaternionic-Kähler structure. We show that depending on whether one reduces first over space or over time, the group L is mapped to two different open L -orbits on the pseudo-Riemannian symmetric space G 2(2) / (SL(2) · SL(2)). These two orbits are inequivalent in the sense that they are distinguished by the existence of integrable L -invariant complex or para-complex structures.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2014)190