Non-self-dual Yang-Mills connections with nonzero Chern number

DOI10.1090/S0273-0979-1991-15978-1zbMath0722.58014OpenAlexW2072301756MaRDI QIDQ3209891

Lorenzo Sadun, Jan Segert

Publication date: 1991

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1991-15978-1

zbMATH Keywords

variational methodsnon-self-dual Yang-Mills connectionsinvariant Yang-Mills connectionsnonzero Chern number

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

A symmetric family of Yang-Mills fields ⋮ Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds ⋮ Stable Yang-Mills connections on special holonomy manifolds ⋮ A note on coupled Dirac operators ⋮ The hyperbolic Yang-Mills equation for connections in an arbitrary topological class ⋮ Existence of a new instanton in constrained Yang-Mills-Higgs theory. ⋮ Non-minimal Yang-Mills fields and dynamics ⋮ An \(L^2\)-isolation theorem for Yang-Mills fields on Kähler surfaces ⋮ Atiyah’s work on holomorphic vector bundles and gauge theories ⋮ Non-self-dual Yang-Mills connections with quadrupole symmetry ⋮ \(L^2\) vanishing theorem on some Kähler manifolds ⋮ Twistor interpretation of harmonic spheres and Yang-Mills fields ⋮ Domain wall equations, Hessian of superpotential, and Bogomol'nyi bounds

Cites Work

• Stability in Yang-Mills theories
• The principle of symmetric criticality
• Construction of instantons
• On the equivalence of the first and second order equations for gauge theories
• Non-minimal Yang-Mills fields and dynamics
• Topological aspects of Yang-Mills theory
• Chern numbers, quaternions, and Berry's phases in Fermi systems
• Solutions to Yang—Mills equations that are not self-dual
• Chern numbers for fermionic quadrupole systems
• Invariant Connections and Yang-Mills Solutions
• Stability and gap phenomena for Yang-Mills fields
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