Classification of supersymmetric spacetimes in eleven dimensions

Details Classification of supersymmetric spacetimes in eleven dimensions Classification of supersymmetric spacetimes in eleven dimensions

2004-12-11

arxiv.org/abs/hep-th/0412116v2

Phys.Rev.Lett.94:161601,2005

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex. v2: change of title (formerly known as "Spin(7) structures in eleven dimensions"); short section on integrabil

Scientific paper

10.1103/PhysRevLett.94.161601

We derive, for spacetimes admitting a Spin(7) structure, the general local bosonic solution of the Killing spinor equation of eleven dimensional supergravity. The metric, four form and Killing spinors are determined explicitly, up to an arbitrary eight-manifold of Spin(7) holonomy. It is sufficient to impose the Bianchi identity and one particular component of the four form field equation to ensure that the solution of the Killing spinor equation also satisfies all the field equations, and we give these conditions explicitly.

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