Abstract:
This thesis discusses the role of AdS/CFT correspondence in high-energy physics. It
concentrates on studying the mathematical black holes in various backgrounds, particularly in
the anti deSitter(AdS) space. In this thesis, we discusses the emergence of Hawking radiation
and the information paradox relating to its entropy. An extensive study of the correlation
between the conformal eld theory and the anti-deSitter space is given.In addition, we studied
the holographic entanglement entropy of a black hole using the theories of quantum eld and
gauge/gravity duality which was then used to address the existing problem of information
theory paradox. Finally, we calculated the entanglement entropy of simple con gurations
using the reduced matrix formalism.
