title: Local Operators in the Eternal Black Hole.
abstract: In the AdS/CFT correspondence, states obtained by Hamiltonian evolution of the thermofield doubled state are also dual to an eternal black-hole geometry, which is glued to the boundary with a time shift generated by a large diffeomorphism. We describe gauge-invariant relational observables that probe the black hole interior in these states and constrain their properties using effective field theory. By adapting recent versions of the information paradox we show that these observables are necessarily described by state-dependent bulk-boundary maps, which we construct explicitly.
authors.affiliation: Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands and Theory Group, Physics Department, CERN, CH-1211 Geneva 23, Switzerland.
authors.forename: Kyriakos
authors.initials: K
authors.lastname: Papadodimas
authors.affiliation: International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, IISc Campus, Bengaluru 560012, India.
authors.forename: Suvrat
authors.initials: S
authors.lastname: Raju