Group actions on principal bundles and dimensional reduction

DOI10.1007/BF00417502zbMath0451.58013OpenAlexW2051295316MaRDI QIDQ1148040

Steven Shnider, J. Harnad, Jacek Tafel

Publication date: 1980

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00417502

zbMATH Keywords

gauge groupinvariant connectionscritical points of the Higgs potentialdimensional reduction proceduregeometrical interpretation of gauge and Higgs fields

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80) Connections (general theory) (53C05)

Related Items (17)

Symmetry of Einstein-Yang-Mills systems and dimensional reduction ⋮ Remarks on the problem of lifting spacetime symmetries ⋮ Classification of G-invariant configurations of Einstein-Cartan theory on a multidimensional universe ⋮ Symmetry reduction for nonlinear relativistically invariant equations ⋮ Spherically symmetric static SU(2) Einstein–Yang–Mills fields ⋮ Classification of the Vacua of the Dimensionally Reduced Low‐Energy Limit of the Heterotic String Over Nearly‐Kähler Manifolds ⋮ Supersymmetry breaking by dimensional reduction over coset spaces ⋮ Unified models from gauged supergroups. III. The ‘‘super-2-sphere’’ OSp(3‖2)/OSp(2‖2) ⋮ Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions ⋮ The Nonsymmetric Kaluza-Klein Theory and Modern Physics A Novel Approach ⋮ Group actions on principal bundles and invariance conditions for gauge fields ⋮ The geometry of gauge fields ⋮ Geometrical approach to the dimensional reduction of symmetric gauge fields ⋮ Geometry of gauge fields in multidimensional universe ⋮ Reductions by isometries of the self-dual Yang–Mills equations in four-dimensional Euclidean space ⋮ Magnetic moments and general covariance ⋮ Symmetries of Einstein-Yang-Mills fields and dimensional reduction

Cites Work

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• The Yang–Mills system in compactified Minkowski space; Invariance conditions and SU(2) invariant solutions
• Canonical connections on Riemannian symmetric spaces and solutions to the Einstein–Yang–Mills equations
• Group actions on principal bundles and invariance conditions for gauge fields

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