Thèses de Doctorat "Physique"

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    Topological Version of Metric-Affine Gravity
    (2024-11-07) BELARBI Oussama Abdelghafour
    This 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.