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arXiv · 0807.1259

Generalized Instantons on Complex Projective Spaces

Hironobu Kihara·Muneto Nitta
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Abstract

We study a class of generalized self-duality relations in gauge theories on the complex projective space with the Fubini-Study metric. Our theories consist of only gauge fields with gauge group U(n). The pseudo-energies which we consider contain higher orders of field strength and are labeled by an integer p smaller than or equal to [n/2]. For making the Bogomol'nyi completion we need non-single trace terms in the pseudo-energies, unlike the models defined on spheres, which were studied previously. We construct an explicit solution of codimension 2n to generalized self-duality equations as Bogomol'nyi equations, by using a part of the spin connection.

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Hironobu Kihara, Muneto Nitta. 2008-07-15. Generalized Instantons on Complex Projective Spaces. https://doi.org/10.1063/1.3050341

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