Self-duality in Dimensions $2n>4$: Equivalence of Various Definitions, and an Upper Bound for $p_2$

Details Self-duality in Dimensions $2n>4$: Equivalence of Various Definitions, and an Upper Bound for $p_2$ Self-duality in Dimensions $2n>4$: Equivalence of Various Definitions, and an Upper Bound for $p_2$

1996-04-11

arxiv.org/abs/dg-ga/9604002v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

We show that the self-duality defined in [Trautman, Int.J.Theor.Phys.,{\bf
16},561 (1977)] is equivalent to strong self-duality defined in [Bilge, Dereli
and Kocak, Lett.Math.Phys., {\bf 36}, 301-309, (1996)] and we obtain an upper
bound on $\int (p_2)^{n}$, where $p_2$ is the second Pontrjagin class of an
$SO(N)$ bundle over a $8n$ dimensional manifold.

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