Generalized Instantons on Complex Projective Spaces

Details Generalized Instantons on Complex Projective Spaces Generalized Instantons on Complex Projective Spaces

2008-07-08

arxiv.org/abs/0807.1259v2

J.Math.Phys.50:012301,2009

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, a reference added

Scientific paper

10.1063/1.3050341

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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