An Explicit Construction of Self-dual 2-forms in Eight Dimensions

Details An Explicit Construction of Self-dual 2-forms in Eight Dimensions An Explicit Construction of Self-dual 2-forms in Eight Dimensions

1995-09-08

arxiv.org/abs/hep-th/9509041v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

The geometry of self-dual 2-forms in eight dimensions is studied. These
2-forms determine an $n^2-n+1$ dimensional manifold ${\cal S}_{2n}$. We prove
that for add $n$, it has only one dimensionallinear subspaces. In eight
dimensions, the self-dual forms of Corrigan et al constitue a seven dimensional
linear subspace of ${\cal S}_8$, among many other intersting linear subspaces.

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