Going down from a 3-form in 16 dimensions

Details Going down from a 3-form in 16 dimensions Going down from a 3-form in 16 dimensions

2002-07-19

arxiv.org/abs/hep-th/0207184v1

Phys.Lett. B544 (2002) 367-373

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1016/S0370-2693(02)02511-X

Group theory indicates the existence of a $SO(8) X SO(7) \subset SO(16)$ invariant self-duality equation for a 3-form in 16 dimensions. It is a signal for interesting topological field theories, especially on 8-dimensional manifolds with holonomy group smaller than or equal to Spin(7), with a gauge symmetry that is SO(8) or SO(7). Dimensional reduction also provides new supersymmetric theories in 4 and lower dimensions, as well as a model with gravitational interactions in 8 dimensions, which relies on the octonionic gravitational self-duality equation.

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