THE CLIFFORD SPACE GEOMETRY OF CONFORMAL GRAVITY AND U(4) × U(4) YANG–MILLS UNIFICATION

DOI10.1142/S0217751X1004752XzbMath1184.81146OpenAlexW2152345737MaRDI QIDQ3553609

Carlos Castro

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1142/s0217751x1004752x

zbMATH Keywords

Clifford algebrasgrand unificationC-space gravity

Mathematics Subject Classification ID

Unified quantum theories (81V22) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization of the gravitational field (83C45)

Related Items (1)

GENERALIZED GRAVITY IN CLIFFORD SPACES, VACUUM ENERGY AND GRAND UNIFICATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spin(8) gauge field theory
• Clifford algebra of spacetime and the conformal group
• A polynomial Weyl-invariant spinning-membrane action
• On generalized Yang-Mills theories and extensions of the standard model in Clifford (tensorial) spaces
• On a unified theory of generalized branes coupled to gauge fields, including the gravitational and Kalb-Ramond fields
• A generalization of the relativistic theory of gravitation
• A generalization of the relativistic theory of gravitation. II
• E ₁₁ and M theory
• SPIN GAUGE THEORY OF GRAVITY IN CLIFFORD SPACE: A REALIZATION OF KALUZA–KLEIN THEORY IN FOUR-DIMENSIONAL SPACE–TIME
• A CHERN–SIMONS E₈ GAUGE THEORY OF GRAVITY IN D = 15, GRAND UNIFICATION AND GENERALIZED GRAVITY IN CLIFFORD SPACES
• A novel view on the physical origin of E₈
• On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification
• AN EXCEPTIONAL E₈ GAUGE THEORY OF GRAVITY IN D = 8, CLIFFORD SPACES AND GRAND UNIFICATION
• An extension of quaternionic metrics to octonions
• Canonically relativistic quantum mechanics: Representations of the unitary semidirect Heisenberg group, U(1,3)⊗sH(1,3)
• Representations of the canonical group, (the semidirect product of the unitary and Weyl$ndash$Heisenberg groups), acting as a dynamical group on noncommutative extended phase space
• The octonions
• Regularity theorems in the nonsymmetric gravitational theory
• Supergravity in theory in 11 dimensions
• ANTI-DE SITTER GRAVITY FROM BF–CHERN–SIMONS–HIGGS THEORIES
• World-line quantization of a reciprocally invariant system
• Gravi-weak unification
• Complexified gravity in noncommutative spaces.

This page was built for publication: THE CLIFFORD SPACE GEOMETRY OF CONFORMAL GRAVITY AND U(4) × U(4) YANG–MILLS UNIFICATION