Definitions of entwinement

Craps, Ben; Clerck, Marine De; López, Alejandro Vilar

doi:10.1007/jhep03(2023)079

Cited by 2 publications

(2 citation statements)

References 46 publications

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“…A in the orbiforld AdS 3 /Z n was interpreted as measuring "entwinement", a quantity that emerges from the orbifold description of the theory, with boundary interpretations offered in [48,[62][63][64][65]. In section 5, we have pointed out that this same surface is associated with the bulge of the python, which measures some notion of the complexity of reconstructing the entanglement shadow with access only to A.…”

Section: Relation To Entwinement and Matrix Space Entanglementmentioning

confidence: 99%

Geometric surprises in the Python's lunch conjecture

Arora,

Headrick,

Lawrence

et al. 2024

SciPost Phys.

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A bulge surface, on a time reflection-symmetric Cauchy slice of a holographic spacetime, is a non-minimal extremal surface that occurs between two locally minimal surfaces homologous to a given boundary region. According to the python’s lunch conjecture of Brown et al., the bulge’s area controls the complexity of bulk reconstruction, in the sense of the amount of post-selection that needs to be overcome for the reconstruction of the entanglement wedge beyond the outermost extremal surface. We study the geometry of bulges in a variety of classical spacetimes, and discover a number of surprising features that distinguish them from more familiar extremal surfaces such as Ryu-Takayanagi surfaces: they spontaneously break spatial isometries, both continuous and discrete; they are sensitive to the choice of boundary infrared regulator; they can self-intersect; and they probe entanglement shadows, orbifold singularities, and compact spaces such as the sphere in AdS_p× S^qp×Sq. These features imply, according to the python’s lunch conjecture, novel qualitative differences between complexity and entanglement in the holographic context. We also find, surprisingly, that extended black brane interiors have a non-extensive complexity; similarly, for multi-boundary wormhole states, the complexity pleateaus after a certain number of boundaries have been included.

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Section: Relation To Entwinement and Matrix Space Entanglementmentioning

confidence: 99%

Geometric surprises in the Python's lunch conjecture

Arora,

Headrick,

Lawrence

et al. 2024

SciPost Phys.

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“…There is a region called "entanglement shadow"[27][28][29], which cannot be probed by minimal surfaces.However, using non-minimum but extremal surfaces enables us to probe there. The boundary quantity dual to the area of each of such surface is called "entwinement"[11,[30][31][32][33]. Using entwinement and extremal surfaces does not require any modification to our reconstruction proposal.…”

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confidence: 99%

Bulk reconstruction of AdSd+1 metrics and developing kinematic space

Sugiura

Takeda

2023

J. High Energ. Phys.

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The metrics of the global, Poincaré, and Rindler AdSd+1 are explicitly reconstructed with given lightcone cuts. We first compute the metric up to a conformal factor with the lightcone cuts method introduced by Engelhardt and Horowitz. While a general prescription to determine the conformal factor is not known, we recover the factor by identifying the causal information surfaces from the lightcone cuts and finding that they are minimal. In addition, we propose a new type of kinematic space as the space of minimal surfaces in AdSd+1, where a metric is introduced as a generalization of the case of d = 2. This metric defines the set of bulk points, which is equivalent to that of lightcone cuts. Some other properties are also studied towards establishing a reconstruction procedure for general bulk metrics.

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Definitions of entwinement

Cited by 2 publications

References 46 publications

Geometric surprises in the Python's lunch conjecture

Geometric surprises in the Python's lunch conjecture

Bulk reconstruction of AdSd+1 metrics and developing kinematic space

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