Geometries with Killing Spinors and Supersymmetric AdS Solutions

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dc.creatorGauntlett, Jerome P.
dc.creatorKim, Nakwoo
dc.date2007-10-13
dc.date.accessioned2026-07-07T11:53:33Z
dc.date.available2026-07-07T11:53:33Z
dc.descriptionThe seven and nine dimensional geometries associated with certain classes of supersymmetric $AdS_3$ and $AdS_2$ solutions of type IIB and D=11 supergravity, respectively, have many similarities with Sasaki-Einstein geometry. We further elucidate their properties and also generalise them to higher odd dimensions by introducing a new class of complex geometries in $2n+2$ dimensions, specified by a Riemannian metric, a scalar field and a closed three-form, which admit a particular kind of Killing spinor. In particular, for $n\ge 3$, we show that when the geometry in $2n+2$ dimensions is a cone we obtain a class of geometries in $2n+1$ dimensions, specified by a Riemannian metric, a scalar field and a closed two-form, which includes the seven and nine-dimensional geometries mentioned above when $n=3,4$, respectively. We also consider various ansatz for the geometries and construct infinite classes of explicit examples for all $n$.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0710.2590
dc.identifierhttp://arxiv.org/abs/0710.2590
dc.identifierCommun.Math.Phys.284:897-918,2008
dc.identifierdoi:10.1007/s00220-008-0575-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204576
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleGeometries with Killing Spinors and Supersymmetric AdS Solutions
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