The Signature Triality of Majorana-Weyl Spacetimes

Details The Signature Triality of Majorana-Weyl Spacetimes The Signature Triality of Majorana-Weyl Spacetimes

2000-05-03

arxiv.org/abs/hep-th/0005035v1

Int.J.Mod.Phys. A16 (2001) 4453-4480

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTex. Extended version of hep-th/9907148

Scientific paper

10.1142/S0217751X01005432

Higher dimensional Majorana-Weyl spacetimes present space-time dualities which are induced by the Spin(8) triality automorphisms. Different signature versions of theories such as 10-dimensional SYM's, superstrings, five-branes, F-theory, are shown to be interconnected via the S_3 permutation group. Bilinear and trilinear invariants under space-time triality are introduced and their possible relevance in building models possessing a space-versus-time exchange symmetry is discussed. Moreover the Cartan's ``vector/chiral spinor/antichiral spinor" triality of SO(8) and SO(4,4) is analyzed in detail and explicit formulas are produced in a Majorana-Weyl basis. This paper is the extended version of hep-th/9907148.

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