M-theory backgrounds with 30 Killing spinors are maximally supersymmetric

DOI10.1007/JHEP03(2010)112zbMath1271.81134arXiv1001.1103OpenAlexW2047959575MaRDI QIDQ364893

Ulf Gran, George Papadopoulos, Jan B. Gutowski

Publication date: 3 September 2013

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

Full work available at URL: https://arxiv.org/abs/1001.1103

zbMATH Keywords

supergravity modelssuperstring vacua

Mathematics Subject Classification ID

Supergravity (83E50) Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Remarks on Highly Supersymmetric Backgrounds of 11-Dimensional Supergravity, A non-existence theorem for \(N>16\) supersymmetric \(\mathrm{AdS}_{3}\) backgrounds, All the timelike supersymmetric solutions of all ungauged \(d = 4\) supergravities, Spencer cohomology and 11-dimensional supergravity, All superalgebras for warped AdS ₂ and black hole near horizon geometries, Supersymmetry of AdS and flat backgrounds in M-theory, Static M-horizons, M-horizons, D = 11 dS ₅ backgrounds with enhanced supersymmetry

Cites Work

• Unnamed Item
• Classification of IIB backgrounds with 28 supersymmetries
• IIB solutions with \(N>28\) Killing spinors are maximally supersymmetric
• Plücker-type relations for orthogonal planes
• Oscillator construction of spectra of pp-wave superalgebras in eleven dimensions
• Geometry of all supersymmetric type I backgrounds
• Hidden spacetime symmetries and generalized holonomy in \(M\)-theory
• Supersymmetric Kaluza-Klein reductions of AdS backgrounds
• M-theory \(pp\)-waves, Penrose limits and supernumerary supersymmetries
• Invariant Killing spinors in 11D and type II supergravities
• On the structure of k -Lie algebras
• The holonomy of IIB supercovariant connection
• Supersymmetry and homogeneity of M-theory backgrounds
• The spinorial geometry of supersymmetric backgrounds
• A pp-wave with 26 supercharges
• Prolongations of Lie algebras and applications
• Systematics of M-theory spinorial geometry