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 Duals of Topological Black Holes and the Entropy of Zero-Energy States
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abstract
The horizon of a static black hole in Anti-deSitter space can be spherical, planar, or hyperbolic. The microscopic dynamics of the first two classes of black holes have been extensively discussed recently within the context of the AdS/CFT correspondence. We argue that hyperbolic black holes introduce new and fruitful features in this respect, allowing for more detailed comparisons between the weak and strong coupling regimes. In particular, by focussing on the stress tensor and entropy of some particular states, we identify unexpected increases in the entropy of Super-Yang-Mills theory at strong coupling that are not accompanied by increases in the energy. We describe a highly degenerate state at zero temperature and zero energy density. We also find that the entanglement entropy across a Rindler horizon in exact AdS_5 is larger than might have been expected from the dual SYM theory. Besides, we show that hyperbolic black holes can be described as thermal Rindler states of the dual conformal field theory in flat space.
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Holographic Schwinger pair creation generates nonlocal magic for spacetime dimensions d>2, as shown by a non-flat entanglement spectrum that can be read from the probe brane free energy.
Quantum soliton solutions in AdS3 are constructed via branes in 4D AdS C-metric, with negative-mass cases describing thermal CFT backreaction on global AdS3 and positive-mass cases replacing horizons with smooth origins.
A central-charge Rényi entropy is constructed via the CHM map in a grand canonical ensemble with fixed charge, volume, and central charge potential, shown to obey Rényi inequalities and to separate theory space into dominant-theory and multi-theory regimes at a characteristic index n*.
citing papers explorer
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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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The nonlocal magic of a holographic Schwinger pair
Holographic Schwinger pair creation generates nonlocal magic for spacetime dimensions d>2, as shown by a non-flat entanglement spectrum that can be read from the probe brane free energy.
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Quantum Solitons
Quantum soliton solutions in AdS3 are constructed via branes in 4D AdS C-metric, with negative-mass cases describing thermal CFT backreaction on global AdS3 and positive-mass cases replacing horizons with smooth origins.
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Extended Thermodynamics and Renyi Entropy Beyond Fixed Central Charge
A central-charge Rényi entropy is constructed via the CHM map in a grand canonical ensemble with fixed charge, volume, and central charge potential, shown to obey Rényi inequalities and to separate theory space into dominant-theory and multi-theory regimes at a characteristic index n*.