Topological Version of Metric-Affine Gravity

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dc.contributor.authorBELARBI Oussama Abdelghafour
dc.date.accessioned2025-02-24T08:24:44Z
dc.date.available2025-02-24T08:24:44Z
dc.date.issued2024-11-07
dc.description.abstractThis thesis aims to achieve the realization of a BRST cohomology for the 4D topological gauge-affine gravity in terms of a superconnection formalism. This could be realized by identifying the fields living in the quantized theory in terms of the components of a superconnection 1-superform and a curvature 2-superform, written with respect of the generators of the double-covering of the general affine group GA(4, R). Then, enlargements of the fields are obtained directly using a suitable decomposition of the metalinear double-covering group SL(5, R) with respect to GL(4, R), while remaining consistent with the BRST symmetry since both share the same algebra. Applying the formalism of descent equations yields the building of nontrivial observables with torsion.
dc.identifier.urihttps://dspace.univ-oran1.dz/handle/123456789/4399
dc.language.isoen
dc.subjectTopological gauge-affine gravity; Torsion; BRST symmetry; Superconnectionformalism; DescentequationsFormalism; Topological observables.
dc.titleTopological Version of Metric-Affine Gravity
dc.typeThesis
grade.ExaminateurTAHIRI Mohamed, MCA, Université Oran 1
grade.ExaminateurDJEGHLOUL Nazim, Professeur, Université Oran 1
grade.ExaminateurBOUCIF Abdesselam, Professeur, Université d’Ain T’émouchent–B.B.
grade.ExaminateurHAMMOU Bouziane Amine, Professeur, USTO–M.B.
grade.GradeDoctorat LMD
grade.InviteLAGRAA Mohammed, Professeur, Université Oran 1
grade.OptionPhysique Théorique
grade.PrésidentBALASKA Smaïn, Professeur, Université Oran 1
grade.RapporteurMEZIANE Ahmed, Professeur, Université Oran 1
l'article.1.TitreIn Pursuit of BRST Symmetry and Observables in 4D Topological Gauge-Affine Gravity
la.MentionTrès Honorables
la.SpécialitéPhysique
la.coteTH5578
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