2003/08/31 by H. Lü, H. Lu, J. F. Vazquez-Poritz +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1016/j.physletb.2004.07.036
published as Phys.Lett. B597 (2004) 394-399 · Latex, 10 pages, references added
arxiv created 2003/09/07 · openalex publication_date 2004/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We obtain D=4 de Sitter gravity coupled to SU(2) Yang–Mills gauge fields from an explicit and consistent truncation of D=11 supergravity via Kaluza–Klein dimensional reduction on a non-compact space. The “internal” space is a smooth hyperbolic 7-space (H7) written as a foliation of two 3-spheres, on which the SU(2) Yang–Mills fields reside. The positive cosmological constant is completely fixed by the SU(2) gauge coupling constant. The explicit reduction ansatz enables us to lift any of the D=4 solutions to D=11. In particular, we obtain dS2 in M-theory, where the nine-dimensional transverse space is an H7 bundle over S2. We also obtain a new smooth embedding of dS3 in D=6 supergravity.