Classification of Supersymmetric Spacetimes in Eleven Dimensions
Abstract
We derive, for spacetimes admitting a Spin(7) structure, the general local bosonic solution of the Killing spinor equation of 11dimensional supergravity. The metric, fourform, and Killing spinors are determined explicitly, up to an arbitrary eightmanifold of Spin(7) holonomy. It is sufficient to impose the Bianchi identity and one particular component of the fourform field equation to ensure that the solution of the Killing spinor equation also satisfies all the field equations, and we give these conditions explicitly.
 Publication:

Physical Review Letters
 Pub Date:
 April 2005
 DOI:
 10.1103/PhysRevLett.94.161601
 arXiv:
 arXiv:hepth/0412116
 Bibcode:
 2005PhRvL..94p1601C
 Keywords:

 11.25.Yb;
 M theory;
 High Energy Physics  Theory
 EPrint:
 9 pages, latex. v2: change of title (formerly known as "Spin(7) structures in eleven dimensions")