2011/04/30 by Giuseppe Dibitetto, Adolfo Guarino, Diederik Roest · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Computer science #Constraint (computer-aided design) #Cosmology and Gravitation Theories #Embedding #Geometry #Interpretation (philosophy) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quadratic equation #Scalar (mathematics) #Statistics #Supergravity #Supersymmetry #Theoretical physics #Truncation (statistics) #hep-th
paper · pdf · doi:10.1007/jhep06(2011)030
published as JHEP 1106:030,2011 · 15 pages, 1 figure. v3: minor clarifications, typos corrected - published version
arxiv created 2011/05/25 · openalex publication_date 2011/06/01 · arxiv updated 2011/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We work out the truncation from maximal to half-maximal supergravity in four dimensions. In particular, we determine the explicit constraints on the embedding tensors of both theories. These tensors specify the complete theories, including gauge groups and scalar potentials. Firstly, we find the linear constraint on N = 8 theories to allow for a truncation to N = 4 . Secondly, we determine the additional N = 4 quadratic constraints following from N = 8 . Finally, we comment on a brane interpretation as tadpole conditions for the latter.