Brane Solutions in Supergravity and the Near-Horizon Geometries

Abstract

This note represents a summary of a talk given at the 2018 Summer Mathematical Physics seminar, with focus on the physical and the mathematical concepts of the holography principle and large-N dualities. Here, we present an elementary overview of the p-brane solutions in supergravity, setting up a stage for a fairly broad topics on the AdS/CFT correspondence.