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The Signature Triality of Majorana-Weyl Spacetimes

M. A. De Andrade·M. Rojas·F. Toppan
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Abstract

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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M. A. De Andrade, M. Rojas, F. Toppan. 2000-05-03. The Signature Triality of Majorana-Weyl Spacetimes. https://doi.org/10.1142/s0217751x01005432

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