Generating geodesic flows and supergravity solutions

We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacelike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike p-brane solutions when they are lifted over a p-dimensional flat space. In particular, we consider t...

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Bibliographic Details
Published in:Nuclear physics. B 2009-05, Vol.812 (3), p.343-401
Main Authors: Bergshoeff, E., Chemissany, W., Ploegh, A., Trigiante, M., Van Riet, T.
Format: Article
Language:English
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Summary:We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacelike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike p-brane solutions when they are lifted over a p-dimensional flat space. In particular, we consider the problem of constructing the minimal generating solution: A geodesic with the minimal number of free parameters such that all other geodesics are generated through isometries. We give an intrinsic characterization of this solution in a wide class of orbits for various supergravities in different dimensions. We apply our method to three cases: (i) Einstein vacuum solutions, (ii) extreme and non-extreme D = 4 black holes in N = 8 supergravity and their relation to N = 2 STU black holes and (iii) Euclidean wormholes in D ⩾ 3 . In case (iii) we present an easy and general criterium for the existence of regular wormholes for a given scalar coset.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2008.10.023