Generalized Instantons on Complex Projective Spaces

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.

15 pages, a reference added

References in corpus (7)

• The Calculus of Many Instantons
• Generalized Monopoles in Six-dimensional Non-Abelian Gauge Theory
• Static BPS 'monopoles' in all even spacetime dimensions
• Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions
• A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling
• Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative Coupling
• Construction of multi-instantons in eight dimensions

Cited by in corpus (7)

• Notes on Yang-Mills--Higgs monopoles and dyons on R^D, and Chern-Simons--Higgs solitons on \R^{D-2}: Dimensional reduction of Chern-Pontryagin densities
• Dynamical Compactification and Inflation in Einstein-Yang-Mills Theory with Higher Derivative Coupling
• ADHM Construction of (Anti-)Self-dual Instantons in $4n$ Dimensions
• Vortex loop operators and quantum M2-branes
• CP(n) supersymmetric mechanics in U(n) background gauge fields
• Gauge symmetry breaking in ten-dimensional Yang-Mills theory dynamically compactified on S^6
• Generalized Self-Duality Equations of Polynomial Type in Yang-Mills Theories