Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/69
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dc.contributor.authorGočanin, Dragoljuben
dc.contributor.authorRadovanović, Vojaen
dc.date.accessioned2022-06-30T14:25:10Z-
dc.date.available2022-06-30T14:25:10Z-
dc.date.issued2019-11-18en
dc.identifier.issn2470-0010en
dc.identifier.urihttps://physrep.ff.bg.ac.rs/handle/123456789/69-
dc.description.abstractIt is well known that one can define a consistent theory of extended, N=2 anti-de Sitter (AdS) supergravity (SUGRA) in D=4. Besides the standard gravitational part (including a negative cosmological constant), this theory involves a single U(1) gauge field and a pair of Majorana vector spinors that can be combined to form a pair of Dirac vector spinors (charged spin-3/2 gravitini). The action for N=2 AdS4 SUGRA is invariant under diffeomorphisms, SO(1,3)×U(1) gauge transformations, and under local complex supersymmetry. We present a geometric action that involves two "inhomogeneous" parts: an orthosymplectic OSp(4|2) gauge-invariant action quadratic in the gauge field strength and a supplementary term invariant under the purely bosonic SO(2,3)×U(1)∼Sp(4)×SO(2) sector of OSp(4|2), which needs to be added for consistency. This action reduces to N=2 AdS4 SUGRA after suitable gauge fixing, for which we use a constrained auxiliary field in the manner of Stelle and West. Canonical (θ-constant) deformation is performed by using the Seiberg-Witten approach to noncommutative (NC) gauge field theory with Moyal star product. The NC-deformed action is expanded in powers of the deformation parameter θμν, up to the first order. We show that N=2 AdS4 SUGRA has nonvanishing linear NC correction in the physical gauge, originating from the additional, purely bosonic action term. For comparison, simple N=1 Poinacaré SUGRA can be obtained in the same manner from an OSp(4|1) gauge-invariant action (without introducing additional terms). The first nonvanishing NC correction is quadratic in the deformation parameter θμν and therefore exceedingly difficult to calculate. Under Wigner-Inönü contraction, N=2 AdS superalgebra reduces to N=2 Poincaré superalgebra, and it is not clear whether this relation holds after canonical NC deformation. We present the linear NC correction to N=2 AdS4 SUGRA explicitly and discuss its low-energy limit and what remains of it after Wigner-Inönü contraction.en
dc.relation.ispartofPhysical Review Den
dc.titleCanonical deformation of N=2 AdS4 supergravityen
dc.typeArticleen
dc.identifier.doi10.1103/PhysRevD.100.095019en
dc.identifier.scopus2-s2.0-85076403423en
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85076403423en
dc.relation.issue9en
dc.relation.volume100en
item.grantfulltextnone-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-8656-1030-
crisitem.author.orcid0000-0003-0675-1836-
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