Triality of Majorana-Weyl Spacetimes with Different Signatures

Higher dimensional Majorana-Weyl spacetimes present space-time dualities which are induced by the Spin(8) triality automorphisms. This corresponds to a very fundamental property of the supersymmetry in higher dimensions, i.e. that any given theory can be formulated in different signatures all interconnected by the S_3 permutation group.