PIRSA:14110158

CFT/Gravity Correspondence on the Isolated Horizon

(2014). CFT/Gravity Correspondence on the Isolated Horizon. Perimeter Institute. https://pirsa.org/14110158

CFT/Gravity Correspondence on the Isolated Horizon. Perimeter Institute, Nov. 27, 2014, https://pirsa.org/14110158 

          @misc{ pirsa_PIRSA:14110158,
            doi = {10.48660/14110158},
            url = {https://pirsa.org/14110158},
            author = {},
            keywords = {Quantum Gravity},
            language = {en},
            title = {CFT/Gravity Correspondence on the Isolated Horizon},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {nov},
            note = {PIRSA:14110158 see, \url{https://pirsa.org}}
          }
Talk number
PIRSA:14110158
Collection
Talk Type
Subject
Abstract

A quantum isolated horizon can be modeled by an SU(2) Chern-Simons theory on a punctured 2-sphere. We show how a local 2-dimensional conformal symmetry arises at each puncture inducing an infinite set of new observables localized at the horizon which satisfy a Kac-Moody algebra. By means of the isolated horizon boundary conditions, we represent the gravitational fluxes degrees of freedom in terms of the zero modes of the Kac-Moody algebra defined on the boundary of a punctured disk. In this way, our construction encodes a precise notion of CFT/gravity correspondence. The higher modes in the algebra represent new non-geometric charges which can be represented in terms of free matter field degrees of freedom. When computing the CFT partition function of the system, these new states induce an extra degeneracy factor, representing the density of horizon states at a given energy level, which reproduces the Bekenstein's holographic bound for an imaginary Barbero-Immirzi parameter.