Abstract
We compute the Dirac indexes for the two spinstructures κ0 and κ1 for Eguchi–Hanson metricswith nonzero total mass. It shows that the Dirac indexes do notvanish in general, and axial anomaly exists. When the metric haszero total mass, the Dirac index vanishes for the spin structureκ0, and no axial anomaly exists inthis case.
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