Gauge field configurations in curved space-times. III. Self-dual SU(2) fields in Eguchi-Hanson space

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Abstract
A class of finite-action, self-dual SU(2) gauge fields are constructed for the Eguchi-Hanson metric. Two continuous parameters appear in the solution leading to a continuous action. This class includes the spinconnection solution as a particular case and reduces to the Belavin-Polyakov-Schwarz-Tyupkin instanton after a suitable passage to the flat-space limit. Possible significances of such solutions are discussed.

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