Oxidation of self-duality to 12 dimensions and beyond

DOI10.1007/s00220-014-1996-yzbMath1293.53033arXiv1212.6270OpenAlexW3103900125MaRDI QIDQ2249753

Chandrashekar Devchand

Publication date: 3 July 2014

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

Full work available at URL: https://arxiv.org/abs/1212.6270

zbMATH Keywords

Yang-Mills equations\(\mathrm{Spin}(7)\) holonomy\(\mathrm G_2\) holonomycomplex Kähler threefoldsextonionsYang-Mills curvature

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

ADHM construction of (anti-)self-dual instantons in eight dimensions ⋮ Sextonions, Zorn matrices, and \(\mathbf e_{7\frac12}\) ⋮ Lie algebra and Dynkin index ⋮ On intermediate Lie algebra \(E_{7+1/2}\) ⋮ Magnificent four ⋮ Hyperkähler cones and instantons on quaternionic Kähler manifolds ⋮ Instantons on hyperkähler manifolds

Cites Work

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• Matryoshka of special democratic forms
• Yang-Mills flows on nearly Kähler manifolds and \(G_{2}\)-instantons
• Construction of instanton and monopole solutions and reciprocity
• A monotonicity formula for Yang-Mills fields
• Calibrated geometries
• Some comments on the ADHM construction in 4k dimensions
• Compactness of the moduli space of Yang-Mills connections in higher dimensions
• Vector bundles over quaternionic Kähler manifolds
• Quantum field theory and the Jones polynomial
• Supersymmetry and Morse theory
• Special quantum field theories in eight and other dimensions
• Higher-dimensional generalisations of the Euler top equations
• Gauge theory and calibrated geometry. I
• The sextonions and \(E_{7\frac12}\)
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• SPECIAL GRAPHS
• Quaternionic analysis
• Stability and gap phenomena for Yang-Mills fields
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Yang-Mills fields on quaternionic spaces
• The Yang-Mills equations over Riemann surfaces
• Yang–Mills connections over manifolds with Grassmann structure
• SEXTONIONS AND THE MAGIC SQUARE