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Four-Dimensional Einstein Yang-Mills De Sitter Gravity From Eleven Dimensions

H. Lu·J. F. Vazquez-Poritz
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Abstract

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 (H^7) 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 dS_2 in M-theory, where the nine-dimensional transverse space is an H^7 bundle over S^2. We also obtain a new smooth embedding of dS_3 in D=6 supergravity.

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H. Lu, J. F. Vazquez-Poritz. 2003-09-07. Four-Dimensional Einstein Yang-Mills De Sitter Gravity From Eleven Dimensions. https://doi.org/10.1016/j.physletb.2004.07.036

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