2003/07/25 by G. Papadopoulos, Dimitrios Tsimpis, D. Tsimpis · 45 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Connection (principal bundle) #Cosmology and Gravitation Theories #Geometry #Higher-dimensional supergravity #Holonomy #Killing spinor #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Spinor #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1088/0264-9381/20/20/103
published in Classical and Quantum Gravity 20(20), L253-L258 (IOP Publishing) · 8 pages, latex. v2: Minor corrections
arxiv created 2003/07/25 · openalex publication_date 2003/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We show that the holonomy of the supercovariant connection of IIB supergravity is contained in SL (32, ). We also find that the holonomy reduces to a subgroup of SL (32 − N ) ⋉ (⊕ N 32− N ) for IIB supergravity backgrounds with N Killing spinors. We give the necessary and sufficient conditions for a IIB background to admit N Killing spinors. A IIB supersymmetric probe configuration can involve up to 31 linearly independent planar branes and preserves one supersymmetry.