The Embedding of Superstring Backgrounds in Einstein Gravity

Details The Embedding of Superstring Backgrounds in Einstein Gravity The Embedding of Superstring Backgrounds in Einstein Gravity

1999-07-13

arxiv.org/abs/hep-th/9907095v1

Phys.Lett. B417 (1998) 33

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex source

Scientific paper

10.1016/S0370-2693(97)01391-9

A theorem of differential geometry is employed to locally embed a wide class of superstring backgrounds that admit a covariantly constant null Killing vector field in eleven-dimensional, Ricci-flat spaces. Included in this class are exact type IIB superstring backgrounds with non-trivial Ramond-Ramond fields and a class of supersymmetric string waves. The embedding spaces represent exact solutions to eleven-dimensional, vacuum Einstein gravity. A solution of eleven-dimensional supergravity is also embedded in a twelve--dimensional, Ricci-flat space.

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