Geometries with Killing spinors and supersymmetric AdS solutions
type: Item
instance of: scholarly article
title: Geometries with Killing spinors and supersymmetric AdS solutions
zbMATH Open document ID: 1179.53078
author: Jerome P. Gauntlett
author: Nakwoo Kim
published in: Communications in Mathematical Physics
publication date: 2009-03-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/0710.2590
review text: An interesting class of seven and nine dimensional geometries are associated to the supersymmetric \(AdS_3\) and \(AdS_2\) solutions of the IIB and \(D=11\) supergravity respectively. The Riemannian metric, scalar field \(B\) and closed two-form \(F\) give relevant characterization. Using similarity of these geometries to the Sasaki-Einstein geometry the authors study their properties and generalize them to higher dimensions using new class of complex geometries. The new characterization is given by Riemannian metric, scalar field and closed three-form, admitting a particular kind of Killing spinor. Classes of explicit examples are given.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 5530502
zbMATH Keywords: supergravity
zbMATH Keywords: supersymmetric AdS solutions
zbMATH Keywords: Sasaki-Einstein geometry
zbMATH Keywords: Killing spinors
reviewed by: Andrzej Frydryszak
MaRDI profile type: Publication
OpenAlex ID: W3103271594
arXiv ID: 0710.2590
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DOI: 10.1007/S00220-008-0575-5
description: scientific article