Geometric construction of Killing spinors and supersymmetry algebras in homogeneous spacetimes

2002/08/31 by Natxo Alonso-Alberca, N. Alonso-Alberca, Ernesto Lozano-Tellechea +3 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Quantum Mechanics and Non-Hermitian Physics #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/19/23/309

published as Class.Quant.Grav. 19 (2002) 6009-6024 · misprints corrected and references added. Version to appear in Classical and Quantum Gravity

openalex publication_date 2002/11/08 · arxiv created 2002/11/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We show how the Killing spinors of some maximally supersymmetric supergravity solutions whose metrics describe symmetric spacetimes (including AdS , AdS × S and H pp -waves) can be easily constructed using purely geometrical and group-theoretical methods. The calculation of the supersymmetry algebras is extremely simple in this formalism.

Citations

• Lorentzian symmetric spaces
• Vacuum interpolation in supergravity via super p-branes

Cited by

• Supersymmetry and homogeneity of M-theory backgrounds
• The Killing superalgebra of 10-dimensional supergravity backgrounds
• A geometric approach to scalar field theories on the supersphere