Bouraiou, Loubna2024-07-152024-07-152024https://dspace.univ-annaba.dz//handle/123456789/3578Noncommutative geometry (and its matrix models) presents a distinct solution to the problem of quantum gravity, whereas gauge/gravity correspondence is currently the most successful proposal for quantum gravity. It also motivates the development of a noncommutative model for this theory, we introduce a deformation in the usual quantization that preserves the isometries of the undeformed theory. The phase structure is determined, which is characterized by emergent extension to emergent gravity, relevant to noncommutative AdS black holes,is straight- forward by including a dilaton matrix in addition to the matrix coordinate fields.PDFenAdS/CFT correspondence; conformal quantum mechanics; quantum gravity; noncommutative; anti-de Sitter space; phase transitionThesis