Time-like reductions of five-dimensional supergravity

Cortes, V, Dempster, P and Mohaupt, T ORCID: 0000-0002-6864-4086 (2014) Time-like reductions of five-dimensional supergravity. JOURNAL OF HIGH ENERGY PHYSICS, 2014 (4). 190-.

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Abstract

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-K\"ahler 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 $G_{2(2)}/(SL(2) \cdot SL(2))$. These two orbits are inequivalent in the sense that they are distinguished by the existence of integrable $L$-invariant complex or para-complex structures.

Item Type:	Article
Additional Information:	41 pages. Minor revision: one reference and comments added
Uncontrolled Keywords:	Differential and Algebraic Geometry, Supergravity Models
Subjects:	?? QA ?? ?? QC ??
Depositing User:	Symplectic Admin
Date Deposited:	12 Oct 2015 15:00
Last Modified:	15 Mar 2024 06:16
DOI:	10.1007/JHEP04(2014)190
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2031041