Miguel Ángel Martín Contreras

(Departamento de Física, Universidad de Los Andes)

(Departamento de Física, Universidad de Los Andes)

String Theory is widely known by its fantastic predictions in Cosmology and Particle Physics, but far away from this topics, String Theory has a strong feature: its mathematical structure.
On the picture of String Theory, when we consider a collection of p-branes, we
find a space-time geometry (a Gravity Theory in *d*+1 dimensions) that
can be related to Conformal Theories (that live in *d* dimensions) with
the particularity that the couplings of both theories are inverse-related
when we impose the correct conditions (the Large *N*_{c} expansion).
The main objective of this talk is to introduce the basic ideas in order to
obtain the Correspondence (in the extremal case) between the Supergravity Type IIB (SUGRA IIB) in the Bulk of AdS_{5} with the *N* = 4 Super Yang-Mills theory (*N* = 4 SYN) living on the boundary of same space.