N=31, D=11

2006/10/31 by Ulf Gran, U. Gran, J. Gutowski +3 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/02/043

published as JHEP 0702:043,2007 · 17 pages

arxiv created 2006/10/31 · openalex publication_date 2007/02/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We show that eleven-dimensional supergravity backgrounds with thirty one supersymmetries, N=31, admit an additional Killing spinor and so they are locally isometric to maximally supersymmetric ones. This rules out the existence of simply connected eleven-dimensional supergravity preons. We also show that N=15 solutions of type I supergravities are locally isometric to Minkowski spacetime.

Citations

• M-theory on manifolds of G2 holonomy: the first twenty years
• Hidden spacetime symmetries and generalized holonomy in M-theory

Cited by

• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Characterization of all the supersymmetric solutions of gaugedN= 1,D= 5 supergravity
• The Killing superalgebra of 10-dimensional supergravity backgrounds
• Maximally minimal preons in four dimensions