Supersymmetry and homogeneity of M-theory backgrounds

2004/09/30 by José Figueroa-O’Farrill, José Figueroa-O'Farrill, Patrick Meessen +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Black Holes and Theoretical Physics #Current algebra #Homogeneity (statistics) #Homogeneous #Lie superalgebra #M-theory #Mathematical physics #Nonlinear Waves and Solitons #Particle physics #Physics #Pure mathematics #Statistical physics #Statistics #Subalgebra #Superalgebra #Supergravity #Supersymmetry #Supersymmetry algebra #Theoretical physics #hep-th #math.DG

paper · pdf · doi:10.1088/0264-9381/22/1/014

published as Class.Quant.Grav.22:207-226,2005 · 19 pages (Erroneous Section 6.3 removed from the paper.)

openalex publication_date 2004/12/11 · arxiv created 2012/08/02 · arxiv updated 2012/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We describe the construction of a Lie superalgebra associated to an arbitrary supersymmetric M-theory background, and discuss some examples. We prove that for backgrounds with more than 24 supercharges, the bosonic subalgebra acts locally transitively. In particular, we prove that backgrounds with more than 24 supersymmetries are necessarily (locally) homogeneous.

Citations

• Killing spinors, supersymmetries and rotating intersecting branes
• Maximal supersymmetry in ten and eleven dimensions
• Geometric construction of Killing spinors and supersymmetry algebras in homogeneous spacetimes
• Hidden spacetime symmetries and generalized holonomy in M-theory
• Supersymmetries and their representations
• Magnetic monopoles in Kaluza-Klein theories
• Supergravity in theory in 11 dimensions
• Plane wave limits and T-duality

Cited by

• The Killing superalgebra of 10-dimensional supergravity backgrounds