2014/01/27 by Ulf Gran, G. Papadopoulos, George Papadopoulos +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Heterotic string theory #Higher-dimensional supergravity #Invariant (physics) #Isotropy #Killing spinor #Mathematical physics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Quantum mechanics #Spacetime #Spin (aerodynamics) #Spinor #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep05(2014)024
21 pages
arxiv created 2014/01/27 · openalex publication_date 2014/05/01 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
IIA supergravity backgrounds preserving one supersymmetry locally admit four types of Killing spinors distinguished by the orbits of Spin(9,1) on the space of spinors. We solve the Killing spinor equations of IIA supergravity with and without cosmological constant for Killing spinors representing two of these orbits, with isotropy groups Spin(7) and Spin(7)⋉ℝ8. In both cases, we identify the geometry of spacetime and express the fluxes in terms of the geometry. We find that the geometric constraints on backgrounds with a Spin(7)⋉ℝ8 invariant Killing spinor are identical to those found for heterotic backgrounds preserving one supersymmetry.