The Embedding of Superstring Backgrounds in Einstein Gravity

Abstract

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.

14 pages, Latex source

References in corpus (2)

• Kaluza-Klein Gravity
• Type IIB instanton as a wave in twelve dimensions

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