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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:scopusR ⊗ C ⊗ H ⊗ O-Valued Gravity as a Grand Unified Field Theory
ArticleAbstract: It is argued how R⊗ C⊗ H⊗ O-valued Gravity (real-complex-quaterno-octonionic Gravity) naturally canPalabras claves:Clifford algebras, Nonassociative Geometry, Octonionic Gravity, Quaternions, strings, UnificationAutores:Carlos CastroFuentes:scopusProgress in Clifford Space Gravity
ArticleAbstract: Clifford-space Gravity is revisited and new results are found. The Clifford space (C-space) generaliPalabras 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:scopusOn C ⊗ H ⊗ O-Valued Gravity, Sedenions, Hermitian Matrix Geometry and Nonsymmetric Kaluza–Klein Theory
ArticleAbstract: We review briefly how R⊗ C⊗ H⊗ O-valued gravity (real-complex-quaterno-octonionic gravity) naturallyPalabras claves:Clifford algebras, Divison Algebras, Nonassociative Geometry, Octonionic Gravity, Sedenions, strings, UnificationAutores:Carlos CastroFuentes:scopus