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Effects of Gravitational Instantons on Yang-Mills Instanton
Hongsu Kim, Yongsung Yoon
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Abstract
The solutions to (anti) self-dual Yang-Mills equation in the typicalgravitational instantons such as Taub-NUT and Eguchi-Hanson metrics areconstructed and their physical natures are analyzed. The solutions turn out totake the structure of merons and generally carry fractional topological chargevalues. Evidently, these results are consistent with our expectation thatindeed there appears to be strong interference between the topology of gravityand that of YM gauge theory even at the level well below the Planck scale.