Instantons on the exceptional holonomy manifolds of Bryant and Salamon

DOI10.1016/j.geomphys.2014.04.006zbMath1293.53032arXiv1308.6358OpenAlexW2041969933MaRDI QIDQ2451735

Yanyan Li

Publication date: 4 June 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6358

zbMATH Keywords

instantonsgauge theoryspecial holonomy\(G_2\) and \(\mathrm{Spin}(7)\) manifolds

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Issues of holonomy in differential geometry (53C29)

Related Items (max. 100)

Gauge theory on Aloff-Wallach spaces ⋮ Infinitesimal moduli of G2 holonomy manifolds with instanton bundles ⋮ Deformations of \(\text{G}_2\)-instantons on nearly \(\text{G}_2\) manifolds ⋮ Deformation theory of asymptotically conical \(Spin(7)\)-instantons ⋮ $$\mathrm{G}_2$$-Instantons on Noncompact $$\mathrm{G}_2$$-Manifolds: Results and Open Problems ⋮ Monopoles on the Bryant-Salamon \(G_2\)-manifolds ⋮ \(\operatorname{SU}(2)^2\)-invariant \(G_2\)-instantons ⋮ Gauge theory and \(\mathrm{G}_2\)-geometry on Calabi-Yau links ⋮ \(\text{Spin}(7)\)-instantons from evolution equations ⋮ Deformations of nearly Kähler instantons

Cites Work

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• On instantons on nearly Kähler 6-manifolds
• Special quantum field theories in eight and other dimensions
• Higher-dimensional analogues of Donaldson-Witten theory
• M-theory dynamics on a manifold of \(G_2\) holonomy
• The geometry of three-forms in six dimensions.
• On the construction of some complete metrics with exceptional holonomy
• Cohomogeneity one manifolds of spin(7) and \(G_{2}\) holonomy
• Gauge theory and calibrated geometry. I
• Instantons and Killing spinors

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