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A Clifford Algebra Realization of Supersymmetry and its Polyvector Extension in Clifford Spaces
ArticleAbstract: It is shown explicitly how to construct a novel (to our knowledge) realization of the Poincaré superPalabras claves:Clifford algebras, M, F theory superalgebras, polyvector-supersymmetry, supersymmetryAutores:Carlos CastroFuentes:scopusA Clifford Cl(5, C) Unified Gauge Field Theory of Conformal Gravity, Maxwell and U(4) × U(4) Yang-Mills in 4D
ArticleAbstract: A Clifford Cl(5, C) Unified Gauge Field Theory of Conformal Gravity, Maxwell and U(4) × U(4) Yang-MiPalabras claves:C-space Gravity, Clifford algebras, Grand unificationAutores:Carlos CastroFuentes:scopusClifford Algebraic Unification of Conformal Gravity with an Extended Standard Model
ArticleAbstract: A Clifford Cl(5 , C) unified gauge field theory formulation of conformal gravity and U(4) × U(4) × UPalabras claves:Clifford algebras, Grand unification, Gravity, Yang–MillsAutores:Carlos CastroFuentes:scopusGeneralizations of Schwarzschild and (Anti) de Sitter Metrics in Clifford Spaces
ArticleAbstract: After a very brief introduction to generalized gravity in Clifford spaces (C-spaces), generalized mePalabras claves:Area metrics, Extended Relativity in Clifford Spaces, Gravity, Kawaguchi–Finsler geometry, stringsAutores:Carlos CastroFuentes:scopusExtended Lorentz Transformations in Clifford Space Relativity Theory
ArticleAbstract: Some novel physical consequences of the Extended Relativity Theory in C-spaces (Clifford spaces) werPalabras claves:Clifford algebras, Doubly special relativity, Extended Relativity in Clifford Spaces, Quantum Clifford-Hopf algebrasAutores:Carlos CastroFuentes:scopusSuper-Clifford Gravity, Higher Spins, Generalized Supergeometry and Much More
ArticleAbstract: An extended Orthogonal-Symplectic Clifford Algebraic formalism is developed which allows the novel cPalabras claves:Antisymmetric metrics, Biconnections, Bimetric gravity, Cosmological constant, Exceptional Algebras, Generalized Super Geometry, Higher spins, orthogonal Clifford algebras, Super Clifford spaces, Super-Clifford algebras, supersymmetry, symplectic Clifford algebrasAutores:Carlos CastroFuentes:scopusThe Cosmological Constant from the Extended Theory of Gravitation in Clifford Spaces
ArticleAbstract: The exploration of the novel physical consequences of the Extended Theory of Gravity in C-spaces (ClPalabras claves:Clifford algebras, Cosmological constant, cosmology, Extended Relativity in Clifford SpacesAutores:Carlos CastroFuentes:scopusThe Extended Relativity Theory in Clifford Phase Spaces and Modifications of Gravity at the Planck/Hubble Scales
ArticleAbstract: We extend the construction of Born's Reciprocal Phase Space Relativity to the case of Clifford SpacePalabras claves:Autores:Carlos CastroFuentes:scopusNote on a Clifford Algebra Based Grand Unification Program of Gravity and the Standard Model
ArticleAbstract: Further evidence is provided why a Cl(5, C) gauge field theory in four dimensions furnishes the simpPalabras claves:Clifford algebras, Exceptional Algebras, Grand unification, Gravity, noncommutative geometry, Yang–MillsAutores:Carlos CastroFuentes:scopusNovel Physical Consequences of the Extended Relativity in Clifford Spaces
ArticleAbstract: Novel physical consequences of the Extended Relativity Theory in C-spaces (Clifford spaces) are explPalabras claves:Clifford algebras, Doubly special relativity, Extended Relativity in Clifford Spaces, Quantum Clifford-Hopf algebrasAutores:Carlos CastroFuentes:scopus