Surface theory: the classical, the quantum, and the holographic

Engelhardt, Netta; Fischetti, Sebastian

doi:10.1088/1361-6382/ab3bda

Cited by 28 publications

(34 citation statements)

References 114 publications

(256 reference statements)

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“…We will now describe a geometry and quantum state with a quantum extremal surface X whose generalized entropy saturates the inequality (21). The existence of a state with the properties we describe would imply our conjecture, Eq.…”

Section: Properties Of a Generalized Entropy Maximizing Bulk Statementioning

confidence: 81%

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From black hole entropy to energy-minimizing states in QFT

2020

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Behind certain marginally trapped surfaces one can construct a geometry containing an extremal surface of equal, but not larger area. This construction underlies the Engelhardt-Wall proposal for explaining Bekenstein-Hawking entropy as a coarse-grained entropy. The construction can be proven to exist classically but fails if the Null Energy Condition is violated.Here we extend the coarse-graining construction to semiclassical gravity. Its validity is conjectural, but we are able to extract an interesting nongravitational limit. Our proposal implies Wall's ant conjecture on the minimum energy of a completion of a quantum field theory state on a halfspace. It further constrains the properties of the minimum energy state; for example, the minimum completion energy must be localized as a shock at the cut. We verify that the predicted properties hold in a recent explicit construction of Ceyhan and Faulkner, which proves our conjecture in the nongravitational limit. * bousso@lbl.gov †

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Section: Properties Of a Generalized Entropy Maximizing Bulk Statementioning

confidence: 81%

“…This proceeds in exact analogy with the classical argument [13], with the QFC replacing the NEC, so we will not spell out the argument here. See [21] for details.…”

Section: Properties Of a Generalized Entropy Maximizing Bulk Statementioning

confidence: 99%

From black hole entropy to energy-minimizing states in QFT

2020

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“…Another interesting possibility would be to consider quantum corrections to both CWI and EWN. This could be done using quantum extremal surfaces [52,53], although it might be difficult to implement in practice.…”

Section: Final Remarksmentioning

confidence: 99%

Constraining higher order gravities with subregion duality

Cáceres

Misobuchi

Pedraza³

2019

J. High Energ. Phys.

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In higher derivative theories, gravity can travel slower or faster than light. With this feature in mind, we revisit the construction of the causal and entanglement wedges in this type of theories, and argue that they must be constructed using the fastest mode instead of null rays. We show that the property of causal wedge inclusion, i.e., the fact that the causal wedge must be contained in the entanglement wedge, leads to more stringent constraints on the couplings than those imposed by hyperbolicity and boundary causality. Our results imply that the full power of subregion-subregion duality could lead to the same conclusions previously obtained based on high energy graviton scattering. We illustrate our findings with a systematic analysis in Gauss-Bonnet gravity. arXiv:1907.08021v2 [hep-th]

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“…Other applications in the realm of astrophysics and black hole physics where physical degrees of freedom are localized on submanifolds of spacetime can also be listed. An additional recent motivation comes from the study of entangling surfaces, and the general subject of boundary entropy [5,6,7].…”

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confidence: 99%

“…The vanishing of the first variation of this simultaneous action with respect to η, see (6), gives the DNG equations of motion, as in (7),…”

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confidence: 99%

A covariant simultaneous action for branes

Capovilla

Cruz

2019

Annals of Physics

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A covariant simultaneous action for branes in an arbitrary curved background spacetime is considered. The action depends on a pair of independent field variables, the brane embedding functions, through the canonical momentum of a reparametrization invariant geometric model for the brane, and an auxiliary vector field. The form of the action is analogous to a symplectic potential. Extremization of the simultaneous action produces at once the equations of motion and the Jacobi equations for the brane geometric model, and it also provides a convenient shortcut towards its second variation. In this note, we consider geometric models depending only on the intrinsic geometry of the brane worldvolume, and discuss briefly the generalization to extrinsic geometry dependent models. The approach is illustrated for Dirac-Nambu-Goto [DNG] branes. For a relativistic particle, a simultaneous action was introduced by Bażański, that served as an inspiration for the present work.Brane mechanics is the study of the dynamics of relativistic extended objects [1,2], like relativistic strings, domain walls, and objects of higher dimension. In a relativistic setting, branes describe physical systems with degrees of freedom localized on spacelike sub-manifolds in an ambient fixed background spacetime, or "bulk". The organizing principle of brane mechanics is the symmetry of reparametrization invariance. Branes are described by

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Surface theory: the classical, the quantum, and the holographic

Cited by 28 publications

References 114 publications

From black hole entropy to energy-minimizing states in QFT

From black hole entropy to energy-minimizing states in QFT

Constraining higher order gravities with subregion duality

A covariant simultaneous action for branes

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