Twisted Conformal Algebra so(4,2)

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dc.creatorAizawa, N.
dc.creatorHerranz, F. J.
dc.creatorNegro, J.
dc.creatordel Olmo, M. A.
dc.date2002-07-25
dc.date.accessioned2026-07-07T10:49:25Z
dc.date.available2026-07-07T10:49:25Z
dc.descriptionA new twisted deformation, U_z(so(4,2)), of the conformal algebra of the (3+1)-dimensional Minkowskian spacetime is presented. This construction is provided by a classical r-matrix spanned by ten Weyl-Poincare generators, which generalizes non-standard quantum deformations previously obtained for so(2,2) and so(3,2). However, by introducing a conformal null-plane basis it is found that the twist can indeed be supported by an eight-dimensional carrier subalgebra. By construction the Weyl-Poincare subalgebra remains as a Hopf subalgebra after deformation. Non-relativistic limits of U_z(so(4,2)) are shown to be well defined and they give rise to new twisted conformal algebras of Galilean and Carroll spacetimes. Furthermore a difference-differential massless Klein-Gordon (or wave) equation with twisted conformal symmetry is constructed through deformed momenta and position operators. The deformation parameter is interpreted as the lattice step on a uniform Minkowskian spacetime lattice discretized along two basic null-plane directions.
dc.description20 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0207233
dc.identifierhttp://arxiv.org/abs/hep-th/0207233
dc.identifierJ.Phys.A35:8179-8196,2002
dc.identifierdoi:10.1088/0305-4470/35/39/304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184214
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleTwisted Conformal Algebra so(4,2)
dc.typetext

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