Special geometry of Euclidean supersymmetry IV:the local c-map

Cortes, V, Dempster, P, Mohaupt, T ORCID: 0000-0002-6864-4086 and Vaughan, O (2015) Special geometry of Euclidean supersymmetry IV:the local c-map. Journal of High Energy Physics, 10 (10). 66-.

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Abstract

We consider timelike and spacelike reductions of 4D, N = 2 Minkowskian and Euclidean vector multiplets coupled to supergravity and the maps induced on the scalar geometry. In particular, we investigate (i) the (standard) spatial c-map, (ii) the temporal c-map, which corresponds to the reduction of the Minkowskian theory over time, and (iii) the Euclidean c-map, which corresponds to the reduction of the Euclidean theory over space. In the last two cases we prove that the target manifold is para-quaternionic Kahler. In cases (i) and (ii) we construct two integrable complex structures on the target manifold, one of which belongs to the quaternionic and para-quaternionic structure, respectively. In case (iii) we construct two integrable para-complex structures, one of which belongs to the para-quaternionic structure. In addition we provide a new global construction of the spatial, temporal and Euclidean c-maps, and separately consider a description of the target manifold as a fibre bundle over a projective special Kahler or para-Kahler base.

Item Type:	Article
Additional Information:	70 pages, 2 tables, 1 figure
Uncontrolled Keywords:	Differential and Algebraic Geometry, Supergravity Models
Subjects:	?? QA ?? ?? QC ??
Depositing User:	Symplectic Admin
Date Deposited:	25 Nov 2015 17:12
Last Modified:	15 Mar 2024 06:16
DOI:	10.1007/JHEP10(2015)066
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2038943