Results 21 to 30 of about 1,518 (237)

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, Luc Vinet, Stéphane Vinet, Alexei Zhedanov   +3 more
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Comments on the paper “On the κ-Dirac oscillator revisited”

Physics Letters B, 2020
In Ref. [1], the κ-Dirac equation, based on the κ-deformed Poincaré-Hopf algebra, have been studied. In particular, solutions of the κ-Dirac oscillator (DO), in a three-dimensional space, were obtained by deriving the associated radial equations.
Yassine Chargui
doaj   +1 more source

SYMPLECTIC DIRAC OPERATORS FOR LIE ALGEBRAS AND GRADED HECKE ALGEBRAS

Transformation Groups, 2022
26 ...
Ciubotaru, D, De Martino, M, Meyer, P
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Dirac algebra of reduced chiral oscillator [PDF]

AIP Conference Proceedings, 2021
Second order degenerate Chiral oscillator Lagrangian is reduced into first order Lagrangian and Hamiltonian analysis of this formalism is performed by means of the DiracBergmann constraint algorithm.
openaire   +3 more sources

Meson spectrum of SU(2) QCD 1+1 with quarks in Large representations

Journal of High Energy Physics, 2023
We consider SU(2) quantum chromodynamics in 1 + 1 dimensions with a single quark in the spin J representation of the gauge group and study the theory in the large J limit where the gauge coupling g 2 → 0 and J → ∞ with λ = g 2 J 2 fixed.
Anurag Kaushal, Naveen S. Prabhakar, Spenta R. Wadia   +2 more
doaj   +1 more source

Relativistic wave equations with fractional derivatives and pseudodifferential operators

Journal of Applied Mathematics, 2002
We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n=1 and 2 (Klein-Gordon and Dirac equations) are local in their nature, but the ...
Petr Závada
doaj   +1 more source

Algebraic and analytic Dirac induction for graded affine Hecke algebras [PDF]

Journal of the Institute of Mathematics of Jussieu, 2013
AbstractWe define the algebraic Dirac induction map ${\mathrm{Ind} }_{D} $ for graded affine Hecke algebras. The map ${\mathrm{Ind} }_{D} $ is a Hecke algebra analog of the explicit realization of the Baum–Connes assembly map in the $K$-theory of the reduced ${C}^{\ast } $-algebra of a real reductive group using Dirac operators. The
Ciubotaru, D., Opdam, E.M., Trapa, P.E.
openaire   +5 more sources

Iterant Algebra

Entropy, 2017
We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
doaj   +1 more source

Dirac geometry II: coherent cohomology

Forum of Mathematics, Sigma
Dirac rings are commutative algebras in the symmetric monoidal category of $\mathbb {Z}$ -graded abelian groups with the Koszul sign in the symmetry isomorphism.
Lars Hesselholt, Piotr Pstrągowski
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Particle dynamics and Lie-algebraic type of non-commutativity of space–time

Nuclear Physics B, 2018
In this paper, we present the results of our investigation relating particle dynamics and non-commutativity of space–time by using Dirac's constraint analysis.
Partha Nandi, Sayan Kumar Pal, Ravikant Verma   +2 more
doaj   +1 more source