Subregion duality fails in AdS/CFT at leading large N, leading to the proposal of subregion complementarity allowing different CFT operators to describe one bulk subregion.
AdS/CFT Correspondence in Operator Formalism
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abstract
In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge theory, is identical to the spectrum of the free gravitational theory in the global AdS spacetime under some assumptions which are expected to be valid. Thus, two theories are equivalent for the low energy region under the assumptions. Using this equivalence, the bulk local field is constructed and the GKPW relation is derived.
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Lattice regularization of Rindler QFT shows the Unruh effect survives operationally for distant observables even though exact thermality is lost at the state level, with wave packets reflected at a stretched horizon of order the cutoff.
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Subregion Complementarity in AdS/CFT
Subregion duality fails in AdS/CFT at leading large N, leading to the proposal of subregion complementarity allowing different CFT operators to describe one bulk subregion.
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Rindler Physics with a UV Cutoff on the Lattice
Lattice regularization of Rindler QFT shows the Unruh effect survives operationally for distant observables even though exact thermality is lost at the state level, with wave packets reflected at a stretched horizon of order the cutoff.