The twelve dimensional super (2+2)-brane

Details The twelve dimensional super (2+2)-brane The twelve dimensional super (2+2)-brane

1996-11-30

arxiv.org/abs/hep-th/9612008v2

Nucl.Phys. B492 (1997) 249-277

Physics

High Energy Physics

High Energy Physics - Theory

32 pages LaTex, no figures, minor comments and address(!) added

Scientific paper

We discuss supersymmetry in twelve dimensions and present a covariant supersymmetric action for a brane with worldsheet signature (2,2), called a super (2+2)-brane, propagating in the osp(64,12) superspace. This superspace is explicitly constructed, and is trivial in the sense that the spinorial part is a trivial bundle over spacetime, unlike the twisted superspace of usual Poincare supersymmetry. For consistency, it is necessary to take a projection of the superspace. This is the same as the projection required for worldvolume supersymmetry. Upon compactification of this superspace, a torsion is naturally introduced and we produce the membrane and type IIB string actions in 11 and 10 dimensional Minkowski spacetimes. In addition, the compactification of the twelve dimensional supersymmetry algebra produces the correct algebras for these theories, including central charges. These considerations thus give the type IIB string and M-theory a single twelve dimensional origin.

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