THE SPHERE S6VIEWED AS A G2/SU(3) COSET SPACE

DOI10.1142/S0217751X02010650zbMath1080.53045MaRDI QIDQ4808307

Alan J. Macfarlane

Publication date: 14 October 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

exceptional Lie groupscompact homogeneous manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Applications of global differential geometry to the sciences (53C80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (5)

Exceptional deconfinement in \(G(2)\) gauge theory ⋮ On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators ⋮ Exceptional thermodynamics: the equation of state of \(G_{2}\) gauge theory ⋮ Quantum channels and representation theory ⋮ Instantons on the six-sphere and twistors

Cites Work

• Minimal realizations and spectrum generating algebras
• SYMPLECTIC AND ORTHOGONAL LIE ALGEBRA TECHNOLOGY FOR BOSONIC AND FERMIONIC OSCILLATOR MODELS OF INTEGRABLE SYSTEMS
• LIE ALGEBRA AND INVARIANT TENSOR TECHNOLOGY FOR g₂
• Simple Groups and Strong Interaction Symmetries
• Yang-Baxter algebra for the \(n\)-harmonic oscillator realisation of \(\text{Sp}(2n,{\mathbb{R}})\)
• A hidden supersymmetry of supersymmetric mechanics on the sphere \(S^6\)

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