The split algebras and noncompact Hopf maps

DOI10.1063/1.3372628zbMath1310.81097arXiv0905.2792OpenAlexW3098023913MaRDI QIDQ5249562

Kazuki Hasebe

Publication date: 6 May 2015

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

Full work available at URL: https://arxiv.org/abs/0905.2792

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Noncommutative geometry methods in quantum field theory (81T75) Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Nonassociative division algebras (17A35)

Related Items (11)

\(\operatorname{SO}(4)\) Landau models and matrix geometry ⋮ A “magic” approach to octonionic Rosenfeld spaces ⋮ Higher-dimensional representations of \(\mathsf {SL}_2\) and its real forms via Plücker embedding ⋮ Non-compact Hopf maps and fuzzy ultra-hyperboloids ⋮ Construction of the Dirac operator on the \(q\)-deformed quantum space \(EAdS^2\) using a generalized \(q\)-deformed Ginsparg-Wilson algebra ⋮ Gauged Dirac operator on the q-deformed fuzzy Euclidean anti-de Sitter space using the pseudo-generalization of q-deformed Ginsparg–Wilson algebra ⋮ BPS black hole entropy and attractors in very special geometry. Cubic forms, gradient maps and their inversion ⋮ Dirac operators on the fuzzy AdS2 with the spins $\frac{1}{2}$12 and 1 ⋮ Split-Hopf fibrations ⋮ $Sp(4; \mathbb{R})$ squeezing for Bloch four-hyperboloid via the non-compact Hopf map ⋮ Spin-entangled squeezed state on a Bloch four-hyperboloid

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