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

1995/09/08 by Ayse Humeyra Bilge, Tekin Dereli, Bilge, Ayse Humeyra +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9509041

arxiv created 1995/09/08 · arxiv updated 2009/11/30

Abstract

The geometry of self-dual 2-forms in eight dimensions is studied. These 2-forms determine an n²-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 S₈, among many other intersting linear subspaces.

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