Deformed conformal and super-Poincaré symmetries in the non-(anti)commutative spaces

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dc.creatorBanerjee, Rabin
dc.creatorLee, Choonkyu
dc.creatorSiwach, Sanjay
dc.date2005-11-21
dc.date2006-07-05
dc.date.accessioned2026-07-07T12:25:31Z
dc.date.available2026-07-07T12:25:31Z
dc.descriptionGenerators of the super-Poincaré algebra in the non-(anti)commutative superspace are represented using appropriate higher-derivative operators defined in this quantum superspace. Also discussed are the analogous representations of the conformal and superconformal symmetry generators in the deformed spaces. This construction is obtained by generalizing the recent work of Wess et al on the Poincaré generators in the $θ$-deformed Minkowski space, or by using the substitution rules we derived on the basis of the phase-space structures of non-(anti)commutative-space variables. Even with the nonzero deformation parameters the algebras remain unchanged although the comultiplication rules are deformed. The transformation of the fields under deformed symmetry is also discussed. Our construction can be used for systematic developments of field theories in the deformed spaces.
dc.description1+19 pages, a typos in the title corrected, to appear in EPJC
dc.identifierhttps://arxiv.org/abs/hep-th/0511205
dc.identifierhttp://arxiv.org/abs/hep-th/0511205
dc.identifierEur.Phys.J.C48:305-313,2006
dc.identifierdoi:10.1140/epjc/s10052-006-0005-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214634
dc.subjectHigh Energy Physics - Theory
dc.titleDeformed conformal and super-Poincaré symmetries in the non-(anti)commutative spaces
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