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Longo, Roberto; Tanimoto, Yoh; Ueda, Yoshimichi

doi:10.5802/aif.3269

Cited by 9 publications

(8 citation statements)

References 38 publications

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“…For a single Rindler wedge, the total averaged null energy can be defined using the algebra of half-sided modular inclusions for (AdS) Rindler wedges as [38,67,68]…”

Section: A3 Deriving the Averaged Null Energy Distribution In |ψ Smentioning

confidence: 99%

Seeing the entanglement wedge

Levine

Shahbazi-Moghaddam

Soni³

2021

J. High Energ. Phys.

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We study the problem of revealing the entanglement wedge using simple operations. We ask what operation a semiclassical observer can do to bring the entanglement wedge into causal contact with the boundary, via backreaction.In a generic perturbative class of states, we propose a unitary operation in the causal wedge whose backreaction brings all of the previously causally inaccessible ‘peninsula’ into causal contact with the boundary. This class of cases includes entanglement wedges associated to boundary sub-regions that are unions of disjoint spherical caps, and the protocol works to first order in the size of the peninsula. The unitary is closely related to the so-called Connes Cocycle flow, which is a unitary that is both well-defined in QFT and localised to a sub-region. Our construction requires a generalization of the work by Ceyhan & Faulkner to regions which are unions of disconnected spherical caps. We discuss this generalization in the appendix. We argue that this cocycle should be thought of as naturally generalizing the non-local coupling introduced in the work of Gao, Jafferis & Wall.

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“…For a single Rindler wedge, the total averaged null energy can be defined using the algebra of half-sided modular inclusions for (AdS) Rindler wedges as [38,67,68]…”

Section: A3 Deriving the Averaged Null Energy Distribution In |ψ Smentioning

confidence: 99%

Seeing the entanglement wedge

Levine

Shahbazi-Moghaddam

Soni³

2021

J. High Energ. Phys.

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“…Furthermore we expect that the non-trivial S-matrix of this model will be factorizing, which is an unusual feature in higher dimensions. On the other hand also interesting counterexamples to two-particle asymptotic completeness have recently been constructed in wedge-local setting [LTU17], which ought to be instructive also at the multi-particle level.…”

Section: Discussionmentioning

confidence: 99%

“…Underlying this simple picture is of course the intuition of conventional (e.g. bosonic) particle statistics, which may be misleading in the general wedge-local setting as illustrated by recent examples of Longo, Tanimoto and Ueda[LTU17].7 Constructions using Lorentz-covariant creation-operator approximants (e.g [Her13]…”

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confidence: 99%

N-Particle Scattering in Relativistic Wedge-Local Quantum Field Theory

Duell

2018

Commun. Math. Phys.

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“…Only very recently a first example of case (C) has been found: Longo, Tanimoto, and Ueda [LTU19] use methods of free probability to construct singular half-sided modular inclusions.…”

Section: Three Types Of Half-sided Modular Inclusionsmentioning

confidence: 99%

“…As we will recall in Sect. 2, half-sided modular inclusions N ⊂ M (or, equivalently, one-dimensional Borchers triples) can be grouped into three broad families (A), (B), (C) according to the size of their relative commutant N ∩ M. Here case (C) corresponds to triviality of the relative commutant N ∩ M = C. Whereas examples of case (A) and (B) are long since known, the first example of a singular (case (C)) inclusion was found only very recently by Longo, Tanimoto, and Ueda with methods from free probability [LTU19].…”

Section: Introductionmentioning

confidence: 99%

Deformations of Half-Sided Modular Inclusions and Non-local Chiral Field Theories

Lechner

Scotford

2022

Commun. Math. Phys.

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We construct explicit examples of half-sided modular inclusions $$\mathcal {N}\subset \mathcal {M}$$ N ⊂ M of von Neumann algebras with trivial relative commutants. After stating a general criterion for triviality of the relative commutant in terms of an algebra localized at infinity, we consider a second quantization inclusion $$\mathcal {N}\subset \mathcal {M}$$ N ⊂ M with large relative commutant and construct a one-parameter family $$\mathcal {N}_\kappa \subset \mathcal {M}_\kappa $$ N κ ⊂ M κ , $$\kappa \ge 0$$ κ ≥ 0 , of half-sided inclusions such that $$\mathcal {N}_0=\mathcal {N}$$ N 0 = N , $$\mathcal {M}_0=\mathcal {M}$$ M 0 = M and $$\mathcal {N}_\kappa '\cap \mathcal {M}_\kappa =\mathbb {C}1$$ N κ ′ ∩ M κ = C 1 for $$\kappa >0$$ κ > 0 . The technique we use is an explicit deformation procedure (warped convolution), and we explain the relation of this result to the construction of chiral conformal quantum field theories on the real line and on the circle.

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Free products in AQFT

Cited by 9 publications

References 38 publications

Seeing the entanglement wedge

Seeing the entanglement wedge

N-Particle Scattering in Relativistic Wedge-Local Quantum Field Theory

Deformations of Half-Sided Modular Inclusions and Non-local Chiral Field Theories

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