Going down from a 3-form in 16 dimensions
High Energy Physics - Theory
2016-09-06 v1
Abstract
Group theory indicates the existence of a 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.
Cite
@article{arxiv.hep-th/0207184,
title = {Going down from a 3-form in 16 dimensions},
author = {L. Baulieu},
journal= {arXiv preprint arXiv:hep-th/0207184},
year = {2016}
}
Comments
14 pages