The AdS-CFT correspondence and the black-hole information theory paradox

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.