The Supersymmetric (2+1)D Noncommutative $CP^{(N-1)}$ Model in the Fundamental Representation

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dc.creatorFerrari, A. F.
dc.creatorLehum, A. C.
dc.creatorda Silva, A. J.
dc.creatorTeixeira, F.
dc.date2006-12-20
dc.date2007-05-22
dc.date.accessioned2026-07-07T11:59:36Z
dc.date.available2026-07-07T11:59:36Z
dc.descriptionIn this paper we study the noncommutative supersymmetric $CP^{(N-1)}$ model in 2+1 dimensions, where the basic field is in the fundamental representation which, differently to the adjoint representation already studied in the literature, goes to the usual supersymmetric $CP^{(N-1)}$ model in the commutative limit. We analyze the phase structure of the model and calculate the leading and subleading corrections in a 1/N expansion. We prove that the theory is free of non-integrable UV/IR infrared singularities and is renormalizable in the leading order. The two-point vertex function of the basic field is also calculated and renormalized in an explicitly supersymmetric way up to the subleading order.
dc.description20 pages, 6 figures, revtex4; v3, final version to be published in J. Phys.A
dc.identifierhttps://arxiv.org/abs/hep-th/0612223
dc.identifierhttp://arxiv.org/abs/hep-th/0612223
dc.identifierJ.Phys.A40:7803-7818,2007
dc.identifierdoi:10.1088/1751-8113/40/27/024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206621
dc.subjectHigh Energy Physics - Theory
dc.titleThe Supersymmetric (2+1)D Noncommutative $CP^{(N-1)}$ Model in the Fundamental Representation
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