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Self-dual Yang-Mills fields in eight dimensions

Authors:	Ayse Hümeyra Bilge Tekin Dereli Şahin Koçak

Institution:	(1) Department of Mathematics, Anadolu University, Eskiehir, Turkey;(2) Department of Mathematics, Middle East Technical University, Ankara, Turkey;(3) Present address: Department of Mathematics, Institute of Basic Sciences, TÜBÏTAK-Marmara Research Centre, Gebze, PO Box 74, Kocaeli, Turkey

Abstract:	Strongly self-dual Yang-Mills fields in even-dimensional spaces are characterised by a set of constraints on the eigenvalues of the Yang-Mills fieldsF . We derive a topological bound on R⁸, $\int_M {\left( {F, F} \right)} ^2 \geqslant k \int_M {p_{\text{1}}^{\text{2}} }$ , wherep1 is the first Pontryagin class of the SO(n) Yang-Mills bundle, andk is a constant. Strongly self-dual Yang-Mills fields realise the lower bound.

Keywords:	81T13 81T10
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