Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-12-15
J.Math.Phys. 41 (2000) 5510-5516
Physics
High Energy Physics
High Energy Physics - Theory
10 pages REVTeX
Scientific paper
10.1063/1.533444
We show that it is possible to define Majorana (s)pinor fields on M-branes which have been identified under the action of the antipodal map on the adS factor of the throat geometry, or which have been wrapped on two-cycles of arbitrary genus. This is an important consistency check, since it means that one may still take the generators of supertranslations in superspace to transform as Majorana fermions under the adjoint action of $Spin(10,1)$, even though the antipodally identified M2-brane is {\it not} space-orientable. We point out that similar conclusions hold for any p-branes which have the generic (adS)$~{\times}~$(Sphere) throat geometry.
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