Clifford algebraic unification of conformal gravity with an extended standard model

DOI10.1007/s00006-016-0702-xzbMath1367.81158OpenAlexW2231930939MaRDI QIDQ2361369

Carlos Castro

Publication date: 30 June 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-016-0702-x

zbMATH Keywords

gravityClifford algebrasYang-Millsgrand unification

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Unified quantum theories (81V22) Gravitational interaction in quantum theory (81V17) Applications of Lie groups to the sciences; explicit representations (22E70) Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88) Arithmetic mirror symmetry (11G42)

Related Items

Leptons, quarks, and gauge from the complex Clifford algebra \(\mathbb {C}\ell _6\)

Cites Work

• Gravity with de Sitter and unitary tangent groups
• A Clifford \(Cl(5, C)\) unified gauge field theory of conformal gravity, Maxwell and \(U(4) \times U(4)\) Yang-Mills in \(4D\)
• Quaternionic-valued gravitation in \(8D\), grand unification and Finsler geometry
• An exceptional geometry for d = 11 supergravity?
• The algebra of grand unified theories
• Gravi-weak unification
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