Geometric construction of the r-map: from affine special real to special Kähler manifolds

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dc.creatorAlekseevsky, Dmitri V.
dc.creatorCortés, Vicente
dc.date2008-11-11
dc.date.accessioned2026-07-07T12:24:26Z
dc.date.available2026-07-07T12:24:26Z
dc.descriptionWe give an intrinsic definition of (affine very) special real manifolds and realise any such manifold $M$ as a domain in affine space equipped with a metric which is the Hessian of a cubic polynomial. We prove that the tangent bundle $N=TM$ carries a canonical structure of (affine) special Kähler manifold. This gives an intrinsic description of the $r$-map as the map $M\mapsto N=TM$. On the physics side, this map corresponds to the dimensional reduction of rigid vector multiplets from 5 to 4 space-time dimensions. We generalise this construction to the case when $M$ is any Hessian manifold.
dc.identifierhttps://arxiv.org/abs/0811.1658
dc.identifierhttp://arxiv.org/abs/0811.1658
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214326
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject53C26; 53A15; 81T60
dc.titleGeometric construction of the r-map: from affine special real to special Kähler manifolds
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