Results 31 to 40 of about 2,501 (221)
Physics Letters B, 2014 In this Letter, 2D Dirac oscillator in the quantum deformed framework generated by the κ-Poincaré–Hopf algebra is considered. The problem is formulated using the κ-deformed Dirac equation. The resulting theory reveals that the energies and wave functions
Fabiano M. Andrade, Edilberto O. Silva
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Construction of Discrete Symmetries Using the Pauli Algebra Form of the Dirac Equation
Physical Sciences Forum, 2023 Two equations whose variables take values in the Pauli algebra of complex quaternions are shown to be equivalent to the standard Dirac equation and its Hermitian conjugate taken together.
Avraham Nofech
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Dirac Induction for Rational Cherednik Algebras [PDF]
International Mathematics Research Notices, 2018 AbstractWe introduce the local and global indices of Dirac operators for the rational Cherednik algebra $\mathsf{H}_{t,c}(G,\mathfrak{h})$, where $G$ is a complex reflection group acting on a finite-dimensional vector space $\mathfrak{h}$. We investigate precise relations between the (local) Dirac index of a simple module in the category $\mathcal{O ...
Ciubotaru, DM, De Martino, M
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The Weil algebra and the Van Est isomorphism [PDF]
, 2011 This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra W(A) associated to any Lie algebroid A.
Marius Crainic +9 more
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A new look at the Dirac quantization condition
European Physical Journal C: Particles and Fields, 2023 The angular momentum of any quantum system should be unambiguously quantized. We show that such a quantization fails for a pure Dirac monopole due to a previously overlooked field angular momentum from the monopole-electric charge system coming from the ...
Michael Dunia +2 more
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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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SuperTracer: a calculator of functional supertraces for one-loop EFT matching
Journal of High Energy Physics, 2021 We present SuperTracer, a Mathematica package aimed at facilitating the functional matching procedure for generic UV models. This package automates the most tedious parts of one-loop functional matching computations.
Javier Fuentes-Martín +4 more
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DIRAC COHOMOLOGY FOR DEGENERATE AFFINE HECKE-CLIFFORD ALGEBRAS [PDF]
, 2016 In this paper, we study the Dirac cohomology theory on a class of algebraic structures. The main examples of this algebraic structure are the degenerate affine Hecke-Clifford algebra of type An-1 by Nazarov and of classical types by Khongsap-Wang.
Chan, Kei Yuen +2 more
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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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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
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