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Four-dimensional Einstein Yang-Mills de Sitter gravity from eleven dimensions

par Lü, Hong;Vazquez-Poritz, Justin
Référence Physics letters. Section B, 597, 3-4, page (394-399)
Publication Publié, 2004-09

Article révisé par les pairs

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Résumé :

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. © 2004 Published by Elsevier B.V.