IIB solutions with N>28 Killing spinors are maximally supersymmetric

2007/10/09 by Ulf Gran, U. Gran, J. Gutowski +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/12/070

published as JHEP.0712:070,2007 · 27 pages

arxiv created 2007/10/09 · openalex publication_date 2007/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that all IIB supergravity backgrounds which admit more than 28 Killing spinors are maximally supersymmetric. In particular, we find that for all N>28 backgrounds the supercovariant curvature vanishes, and that the quotients of maximally supersymmetric backgrounds either preserve all 32 or N<29 supersymmetries.

Citations

• M-theory on manifolds of G2 holonomy: the first twenty years
• Supergravitypp-wave solutions with 28 and 24 supercharges
• New supergravities with central charges and Killing spinors in 2+1 dimensions

Cited by

• The Classification of Highly Supersymmetric Supergravity Solutions
• BPS preons and the AdS-M-algebra
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric