Local Quantum Energy Conditions in Non-Lorentz-Invariant Quantum Field Theories

Grumiller, Daniel; Parekh, Pulastya; Riegler, Max

doi:10.1103/physrevlett.123.121602

Cited by 37 publications

(25 citation statements)

References 74 publications

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“…For a generic metric which satisfy BMS boundary condition (see for example [24]), the exterior derivative of one-form results in Einstein equation. Our work is not only the first step generalization of the proposal of [18,19] for the flat-space holography but also shows that the flat/BMSFT correspondence studied in several previous works (see references in [25]) is a worthwhile duality.…”

Section: Introductionsupporting

confidence: 61%

First law of entanglement entropy in flat-space holography

Fareghbal

Shalamzari

2019

Phys. Rev. D

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According to flat/Bondi-Metzner-Sachs invariant field theories (BMSFT) correspondence, asymptotically flat spacetimes in (d + 1)-dimensions are dual to d-dimensional BMSFTs. In this duality, similar to the Ryu-Takayanagi proposal in the AdS/CFT correspondence, the entanglement entropy of subsystems in the field theory side is given by the area of some particular surfaces in the gravity side. In this paper we find the holographic counterpart of the first law of entanglement entropy (FLEE) in a two-dimensional BMSFT. We show that FLEE for the BMSFT perturbed states which are descried by three-dimensional flat-space cosmology, corresponds to the integral of a particular one-form on a closed curve. This curve consists of BMSFT interval and also null and spacelike geodesics in the bulk gravitational theory. Exterior derivative of this form is zero when it is calculated for the flat-space cosmology. However, for a generic perturbation of three-dimensional global Minkowski spacetime, the exterior derivative of one-form yields Einstein equation. This is the first step for constructing bulk geometry by using FLEE in the flat/BMSFT correspondence.

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Section: Introductionsupporting

confidence: 61%

First law of entanglement entropy in flat-space holography

Fareghbal

Shalamzari

2019

Phys. Rev. D

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“…This motivates the conjecture that gravity in asymptotically flat three-dimensional spacetimes is dual to a BMSinvariant field theory (BMSFT) at the boundary [21,47]. Supporting evidence for and related studies in this so-called flat 3 /BMSFT correspondence include reproducing thermal entropy in the bulk from a Cardy-like formula at the boundary [48,49], entanglement entropy [26,28,29,[50][51][52][53][54], correlation functions [55], geodesic Witten diagrams [56], one-loop partition functions [57], and energy conditions [58] (see [59] for a review on BMS-invariant field theories and [22,[60][61][62][63][64][65][66][67][68][69] for related studies).…”

Section: Jhep09(2020)033mentioning

confidence: 72%

Modular Hamiltonians in flat holography and (W)AdS/WCFT

Apolo

Jiang

Song

et al. 2020

J. High Energ. Phys.

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We study several aspects of holographic entanglement in two models known as flat 3 /BMSFT and (W)AdS 3 /WCFT. These are two examples of holography beyond AdS/CFT where the boundary field theories are not Lorentz invariant but still feature an infinite set of local symmetries. In the first example, BMS-invariant field theories (BMSFTs) are conjectured to provide a holographic description of quantum gravity in asymptotically flat three-dimensional spacetimes; while in the second example, warped conformal field theories (WCFTs) are proposed to describe quantum gravity in warped AdS 3 or AdS 3 backgrounds with Dirichlet-Neumann boundary conditions. In particular, we derive the modular Hamiltonian for single intervals in both BMSFTs and WCFTs and find the holographic duals in the bulk using the covariant formulation of gravitational charges. We also extend the first law of entanglement entropy to these models of non-AdS holography and discuss the bound on "modular chaos" introduced recently in the context of the AdS/CFT correspondence.

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“…We furthermore show that entanglement entropy is one-loop exact and does not receive any further perturbative corrections within the present setup. These results are particularly useful for the recently discussed novel quantum energy conditions in flat spacetimes [82].…”

Section: Introductionmentioning

confidence: 77%

Geometric actions and flat space holography

Merbis

Riegler²

2020

J. High Energ. Phys.

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In this paper we perform the Hamiltonian reduction of the action for three-dimensional Einstein gravity with vanishing cosmological constant using the Chern-Simons formulation and Bondi-van der Burg-Metzner-Sachs (BMS) boundary conditions. An equivalent formulation of the boundary action is the geometric action on BMS 3 coadjoint orbits, where the orbit representative is identified as the bulk holonomy. We use this reduced action to compute one-loop contributions to the torus partition function of all BMS 3 descendants of Minkowski spacetime and cosmological solutions in flat space. We then consider Wilson lines in the ISO(2, 1) Chern-Simons theory with endpoints on the boundary, whose reduction to the boundary theory gives a bilocal operator. We use the expectation values and two-point correlation functions of these bilocal operators to compute quantum contributions to the entanglement entropy of a single interval for BMS 3 invariant field theories and BMS 3 blocks, respectively. While semi-classically the BMS 3 boundary theory has central charges c 1 = 0 and c 2 = 3/G N , we find that quantum corrections in flat space do not renormalize G N , but rather lead to a non-zero c 1 .

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Local Quantum Energy Conditions in Non-Lorentz-Invariant Quantum Field Theories

Cited by 37 publications

References 74 publications

First law of entanglement entropy in flat-space holography

First law of entanglement entropy in flat-space holography

Modular Hamiltonians in flat holography and (W)AdS/WCFT

Geometric actions and flat space holography

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