Dr. Sunandan Gangopadhyay

It has been realized in the last decade that information theoretic quantities can be computed from the gauge/gravity correspondence. A holographic formula for the entanglement entropy of a subsystem in a d-dimensional conformal field theory living at the boundary of the classical bulk theory has been proposed. In this context, we study the flow of holographic entanglement entropy in dimensions d>=3. It is observed that a generalized entanglement temperature T_g can be defined which gives the Hawking temperature in the infrared region and leads to a generalized thermodynamics like law E=[(d-1)/d]T_g S_{REE}, where S_{REE} is the renormalized holographic entanglement entropy. Furthermore, in the IR limit, T_g produces the Hawking temperature along with some correction terms. The IR limit of S_{REE} gives the thermal entropy of the black hole as the leading term, however, does not have a logarithmic correction unlike the BTZ black hole. We also compute the exact form of the bulk geometry from a 1+1-dimensional conformal field theory using the holographic principle. The results show the influence of the boundary ultra-violet cutoff on the bulk metric.