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.
Highlights
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
In the AdS=CFT correspondence, states obtained by Hamiltonian evolution of the thermofield doubled state are 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
Summary
Our construction circumvented the AMPSS arguments by allowing the map between bulk and boundary operators to be state dependent. In this Letter, we show that versions of the AMPSS paradoxes appear in the eternal black hole and must, once again, be resolved using state-dependent bulk-boundary maps. We will first argue that if one accepts this duality, it follows that a much broader class of states is dual to the same “geometry,” but glued differently to the boundary.
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