The homogeneity theorem for supergravity backgrounds

DOI10.1007/JHEP10(2012)014zbMath1397.83192arXiv1208.0553MaRDI QIDQ1796008

Noel Hustler, José M. Figueroa-O'Farrill

Publication date: 16 October 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0553

zbMATH Keywords

supergravity modelsdifferential and algebraic geometry

Mathematics Subject Classification ID

Supergravity (83E50)

Related Items (27)

Higher-degree Dirac currents of twistor and Killing spinors in supergravity theories ⋮ Remarks on Highly Supersymmetric Backgrounds of 11-Dimensional Supergravity ⋮ Supersymmetric backgrounds, the Killing superalgebra, and generalised special holonomy ⋮ Homogeneous M2 duals ⋮ Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension ⋮ Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions ⋮ Killing superalgebras for Lorentzian four-manifolds ⋮ \(\mathrm{AdS}_{5}\) backgrounds with 24 supersymmetries ⋮ Locally homogeneous pp-waves ⋮ Dynamical symmetry enhancement near IIA horizons ⋮ Supersymmetry of IIA warped flux AdS and flat backgrounds ⋮ Killing superalgebras for Lorentzian six-manifolds ⋮ (M-theory-)Killing spinors on symmetric spaces ⋮ A non-existence theorem for \(N>16\) supersymmetric \(\mathrm{AdS}_{3}\) backgrounds ⋮ Supersymmetric \(\mathrm{dS}_4\) solutions in \(D = 11\) supergravity ⋮ Decomposable (5, 6)-solutions in eleven-dimensional supergravity ⋮ All Killing superalgebras for warped AdS backgrounds ⋮ \(N = 4\) near-horizon geometries in \(D = 11\) supergravity ⋮ Killing superalgebras for Lorentzian five-manifolds ⋮ Spencer cohomology and 11-dimensional supergravity ⋮ \(\mathrm{AdS}_{4}\) backgrounds with \(N > 16\) supersymmetries in 10 and 11 dimensions ⋮ All superalgebras for warped AdS ₂ and black hole near horizon geometries ⋮ Supersymmetry of AdS and flat IIB backgrounds ⋮ Supersymmetry of AdS and flat backgrounds in M-theory ⋮ A uniqueness theorem for warped \(N > 16\) Minkowski backgrounds with fluxes ⋮ Generalized symmetry superalgebras ⋮ D = 11 dS ₅ backgrounds with enhanced supersymmetry

Cites Work

• The Killing superalgebra of 10-dimensional supergravity backgrounds
• On pseudo-Riemannian manifolds with many Killing spinors
• Supersymmetry and homogeneity of M-theory backgrounds

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