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Heterotic supersymmetry, anomaly cancellation and equations of motion
We show that the heterotic supersymmetry (Killing spinor equations) and the
anomaly cancellation imply the heterotic equations of motion in dimensions
five, six, seven, eight if and only if the connection on the tangent bundle is
an instanton. For heterotic compactifications in dimension six this reduces the
choice of that connection to the unique SU(3) instanton on a manifold with
stable tangent bundle of degree zero.Comment: LaTeX 2e, 11 pages, exposition clarified, reference added, final
version to appear in Phys. Lett.
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