On compact or balanced almost Calabi-Yau 6-manifolds with torsion, the torsion connection is an SU(3) instanton if and only if the torsion is parallel, and the Hull connection is an instanton if and only if the torsion is closed.
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Almost Calabi-Yau with torsion 6-manifolds and the instanton condition
On compact or balanced almost Calabi-Yau 6-manifolds with torsion, the torsion connection is an SU(3) instanton if and only if the torsion is parallel, and the Hull connection is an instanton if and only if the torsion is closed.