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arXiv · hep-th/0207184

Going down from a 3-form in 16 dimensions

L. Baulieu
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Abstract

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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L. Baulieu. 2002-07-19. Going down from a 3-form in 16 dimensions. https://doi.org/10.1016/s0370-2693(02)02511-x

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