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Black holes , wormholes , and AdS / CFT correspondence

The AdS/CFT correspondence, or gauge/gravity duality, is a relation between a D-dimensional at space conformal eld theory and a (D+1)-dimensional gravitational theory. Black holes play an important role in the duality, and give a description of strongly interacting theories at nite and zero temperature. In this research project we propose to study black holes in dimensions D ≤ 4, the counting of their microstates, and applications in the context of gauge/gravity duality and condensed matter, and also in the Sachdev-Ye-Kitaev model. We also propose to study some aspects of wormholes, as well as their relation with gauge/gravity duality. São Paulo, Agosto de 2017