#### Alladi Ramakrishnan Hall

#### Information theoretic quantities from gauge/gravity correspondence

#### Sunandan Gangopadhyay

##### S. N. Bose National Centre for Basic Sciences, Kolkata

*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.

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The work is based on the following papers :

Phys. Rev. D 100 (2019) 106008

Eur. Phys. J. Plus 135 (2020) 132

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