Off-shell Realization of Invariant Systems with special treatment of supersymmetric models

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dc.contributor.authorDjeghloul Nazim
dc.date.accessioned2022-12-07T09:53:02Z
dc.date.available2022-12-07T09:53:02Z
dc.date.issued2013-12-08
dc.description.abstractThis thesis is devoted to the construction of a general framework for the off-shell realization of (principally) irreducible invariant field theories plagued with an open algebra of symmetries, i.e., which closes up to the field equations of motion. After a brief review of classical features related to the implication of the symmetry algebra structure on the BRST construction at both on-shell and off-shell levels, we present a prescription that allows us to introduce the auxiliary fields structure for a given open gauge algebra leading to the desired off-shell realization. Global symmetries are also implemented as well as an outline concerning irreducible theories. A central part of this work deals with applications to supersymmetric models. Standard “old minimal” auxiliary fields structure for D=4, N=1 supergravity is recovered and a new one is presented. For the latter we emphasize that the off-shell bosonic and fermionic degrees of freedom do not balance. This leads us to propose an amendment to the "bosons=fermions" rule in supersymmetry (at the off-shell level) and allows us to find a less restrictive condition. Applications are also performed for N=1 global supersymmetry in the context of the Wess-Zumino model and for the extended N=2 case. We focus on two models of the extended N=2 supersymmetry. These models are the Fayet-Sohnius (N=2) supersymmetric matter model and the Double Tensor multiplet for which the off-shell construction usually fails. To find out the desired off-shell structure, we perform, in addition to the application of our procedure, a modification of the extended standard N=2 supersymmetry algebra in order to implement the symmetric group S₂, which describes also a discrete symmetry of the models under consideration. Finally, we briefly discuss the case of reducible systems by taking advantage of the possibility of replacing a reducible gauge theory by an irreducible one, keeping the physical observables unchanged. We then give, accordingly to our off-shell realization procedure, the auxiliary fields structure for the irreducible version of the original reducible system.
dc.formatpdf
dc.identifier.urihttps://dspace.univ-oran1.dz/handle/123456789/3088
dc.language.isofr
dc.publisherUniversité Oran1 Ahmed Ben Bella
dc.subjectBRST formalism, Irreducible systems, Auxiliary fields, Open algebras, Off-shell construction, Extended N=2 supersymmetry, Supersymmetry, imple supergravity, Reducible theories, Off-shell/On-shell gauge theories
dc.titleOff-shell Realization of Invariant Systems with special treatment of supersymmetric models
grade.Co-rapporteur////////////
grade.ExaminateurAbdesselam Boucif, Professeur, Centre Universitaire d’ Aïn Temouchent
grade.ExaminateurBalaska Smaïn, Professeur, Université d’Oran
grade.ExaminateurDubois-violette Michel, Professeur Emérite, Université Paris XI, Orsay
grade.ExaminateurFrappat Luc, Professeur, Université de Savoie
grade.OptionPhysique Théorique
grade.PrésidentLagraa Mohamed, Professeur, Université d’Oran
grade.RapporteurTahiri Mohamed, Professeur, Université d’Oran
l'article.1.DateParution2013
l'article.1.RevueJournal of Physical Mathematics
l'article.1.RéférenceJ Phys Math 5 123
l'article.1.TitreA Modified N=2 Extended Supersymmetry
l'article.2.DateParution2002
l'article.2.RevuePHYSICAL REVIEW D
l'article.2.RéférencePHYSICAL REVIEW D 66, 065010
l'article.2.TitreFrom on-shell to off-shell open gauge theories
l'article.3.DateParution2013
l'article.3.RevuePHYSICAL REVIEW D
l'article.3.RéférencePHYSICAL REVIEW D 88, 065002
l'article.3.TitreAuxiliary fields in open gauge theories
la.MentionTrès Honorable
la.SpécialitéPhysique
la.coteTH4153
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