Results 1 to 10 of about 659,749 (230)
Fermi-Bose duality of the Dirac equation and extended real Clifford-Dirac algebra
Condensed Matter Physics, 2010 We have proved on the basis of the symmetry analysis of the standard Dirac equation with nonzero mass that this equation may describe not only fermions of spin 1/2 but also bosons of spin 1.
I.Yu. Krivsky, V.M. Simulik
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General relativity histories theory: spacetime diffeomorphisms and the Dirac algebra of constraints [PDF]
, 2001 We show that representations of the group of spacetime diffeomorphisms and the Dirac algebra both arise in a phase-space histories version of canonical general relativity.
Ntina Savvidou, Ntina Savvidou
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The dual pair Pin(2n)×osp(1|2), the Dirac equation and the Bannai–Ito algebra
Nuclear Physics B, 2018 The Bannai–Ito algebra can be defined as the centralizer of the coproduct embedding of osp(1|2) in osp(1|2)⊗n. It will be shown that it is also the commutant of a maximal Abelian subalgebra of o(2n) in a spinorial representation and an embedding of the ...
Julien Gaboriaud +3 more
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The Λ-BMS4 charge algebra [PDF]
Journal of High Energy Physics, 2020 The surface charge algebra of generic asymptotically locally (A)dS4 spacetimes without matter is derived without assuming any boundary conditions. Surface charges associated with Weyl rescalings are vanishing while the boundary diffeomorphism charge ...
Geoffrey Compère +2 more
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AIMS MathematicsFirst, some important properties of functions valued in the parameter dependent Clifford algebra $ \mathcal{B}_{n}(2, \alpha_{j}, \gamma_{ij}) $ were studied.
Xiaojing Du +2 more
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Dirac matrices as elements of a superalgebraic matrix algebra [PDF]
, 2016 A Clifford extension of the Grassmann algebra is considered in which operators are built from products of Grassmann variables and derivatives with respect to them. It is shown that a subalgebra of operators, isomorphic to the usual matrix algebra, can be
В. В. Монахов
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VSR symmetries in the DKP algebra: The interplay between Dirac and Elko spinor fields [PDF]
, 2014 VSR symmetries are here naturally incorporated in the DKP algebra on the spin-0 and the spin-1 DKP sectors. We show that the Elko (dark) spinor fields structure plays an essential role in accomplishing this aim, unravelling hidden symmetries on the ...
R. T. Cavalcanti +2 more
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Dirac Geometry I: Commutative Algebra [PDF]
Peking Mathematical Journal, 2022 The purpose of this paper and its sequel is to develop the geometry built from the commutative algebras that naturally appear as the homology of differential graded algebras and, more generally, as the homotopy of algebras in spectra.
L. Hesselholt, Piotr Pstrągowski
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Dirac Operators for the Dunkl Angular Momentum Algebra [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements of the group algebra of the Pin cover of the Weyl group inherent to the rational Cherednik algebra.
Kieran Calvert, Marcelo De Martino
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On the Dirac-like equation in 7-component space-time and generalized Clifford-Dirac algebra
Carpathian Mathematical Publications, 2023 The generalized Dirac equation related to 7-component space-time with one time coordinate and six space coordinates has been introduced. Three 8-component Dirac equations have been derived from the same 256-dimensional Clifford-Dirac matrix algebra ...
V. Simulik
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