N-dimensional sl(2)-coalgebra spaces with non-constant curvature

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dc.creatorBallesteros, Angel
dc.creatorEnciso, Alberto
dc.creatorHerranz, Francisco J.
dc.creatorRagnisco, Orlando
dc.date2007-04-11
dc.date2007-07-02
dc.date.accessioned2026-07-07T10:35:31Z
dc.date.available2026-07-07T10:35:31Z
dc.descriptionAn infinite family of ND spaces endowed with sl(2)-coalgebra symmetry is introduced. For all these spaces the geodesic flow is superintegrable, and the explicit form of their common set of integrals is obtained from the underlying sl(2)-coalgebra structure. In particular, ND spherically symmetric spaces with Euclidean signature are shown to be sl(2)-coalgebra spaces. As a byproduct of this construction we present ND generalizations of the classical Darboux surfaces, thus obtaining remarkable superintegrable ND spaces with non-constant curvature.
dc.description11 pages. Comments and new references have been added; expressions for scalar curvatures have been corrected and simplified
dc.identifierhttps://arxiv.org/abs/0704.1470
dc.identifierhttp://arxiv.org/abs/0704.1470
dc.identifierPhys.Lett.B652:376-383,2007
dc.identifierdoi:10.1016/j.physletb.2007.07.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179770
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleN-dimensional sl(2)-coalgebra spaces with non-constant curvature
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