TTb and EE, with implications for (A)dS subregion encodings

LEWKOWYCZ, AITOR; LIU, JUNYU; SILVERSTEIN, EVA; TORROBA, GONZALO

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer

Año: 2020 vol. 2020

1029-8479

We initiate a study of subregion dualities, entropy, and redundant encodingof bulk points in holographic theories deformed by TTb and itsgeneralizations. This includes both cut off versions of Anti de Sitterspacetime, as well as the generalization to bulk de Sitter spacetime, for whichwe introduce two additional examples capturing different patches of the bulkand incorporating the second branch of the square root dressed energy formula.We provide new calculations of entanglement entropy (EE) for more generaldivisions of the system than the symmetric ones previously available. We findprecise agreement between the gravity side and deformed-CFT side results to allorders in the deformation parameter at large central charge. An analysis of thefate of strong subadditivity for relatively boosted regions indicatesnonlocality reminiscent of string theory. We introduce the structure ofoperator algebras in these systems. The causal and entanglement wedgesgeneralize to appropriate deformed theories but exhibit qualitatively newbehaviors, e.g. the causal wedge may exceed the entanglement wedge. This leadsto subtleties which we express in terms of the Hamiltonian and modularHamiltonian evolution. Finally, we exhibit redundant encoding of bulk points,including the cosmological case.