Triality of Majorana-Weyl Spacetimes With Different Signatures
| dc.creator | De Andrade, M. A. | |
| dc.creator | Rojas, M. | |
| dc.creator | Toppan, F. | |
| dc.date | 1999-07-17 | |
| dc.date.accessioned | 2026-07-07T04:26:46Z | |
| dc.date.available | 2026-07-07T04:26:46Z | |
| dc.description | Majorana-Weyl spacetimes offer a rich algebraic setup and new types of space-time dualities besides those discussed by Hull. The triality automorphisms of Spin(8) act non-trivially on Majorana-Weyl representations and Majorana-Weyl spacetimes with different signatures. In particular relations exist among the (1+9)-(5+5)-(9+1) spacetimes, as well as their transverse coordinates spacetimes (0+8)-(4+4)-(8+0). Larger dimensional spacetimes such as (2+10)-(6+6)-(10+2) also show dualities induced by triality. A precise three-languages dictionary is here given. It furnishes the exact translations among, e.g., the three different versions (one in each signature) of the ten-dimensional N=1 superstring and superYang-Mills theories. Their dualities close the six-element permutation group S_3. Bilinear and trilinear invariants allowing to formulate theories with a manifest space-time symmetry are constructed. | |
| dc.description | 11 pages, LaTex file | |
| dc.identifier | https://arxiv.org/abs/hep-th/9907148 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9907148 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56171 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Triality of Majorana-Weyl Spacetimes With Different Signatures | |
| dc.type | text |