Fine structure of Jackiw-Teitelboim quantum gravity

Blommaert, Andreas; Mertens, Thomas G.; Verschelde, Henri

doi:10.1007/jhep09(2019)066

Cited by 81 publications

(210 citation statements)

References 184 publications

(588 reference statements)

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“…They have also been considered in the context of a dimensional reduction from 3D Chern-Simons gravity [24,35]. 35 More precisely we have to specify the holonomy between any two points at which the Wilson lines intersect the boundary. equivalence between the Schwarzian theory and a suitable large c limit of 2D Virasoro CFT [43].…”

Section: Wilson Lines Bi-local Operators and Probe Particlesmentioning

confidence: 99%

An exact quantization of Jackiw-Teitelboim gravity

Iliesiu

Pufu

Verlinde

et al. 2019

J. High Energ. Phys.

107

168

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We propose an exact quantization of two-dimensional Jackiw-Teitelboim (JT) gravity by formulating the JT gravity theory as a 2D gauge theory placed in the presence of a loop defect. The gauge group is a certain central extension of P SL(2, R) by R. We find that the exact partition function of our theory when placed on a Euclidean disk matches precisely the finite temperature partition function of the Schwarzian theory. We show that observables on both sides are also precisely matched: correlation functions of boundaryanchored Wilson lines in the bulk are given by those of bi-local operators in the Schwarzian theory. In the gravitational context, the Wilson lines are shown to be equivalent to the world-lines of massive particles in the metric formulation of JT gravity.

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Section: Wilson Lines Bi-local Operators and Probe Particlesmentioning

confidence: 99%

An exact quantization of Jackiw-Teitelboim gravity

Iliesiu

Pufu

Verlinde

et al. 2019

J. High Energ. Phys.

107

168

View full text Add to dashboard Cite

show abstract

“…There is growing understanding that edge modes must play a key role in quantum gravity. They are central in the quantization of 2d Yang-Mills and 2d gravity [2][3][4], They play a key role in 3d quantum gravity [5][6][7][8]. They are essential to the understanding of boundary dynamics and to the construction of defects operators in Chern-Simons theory [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Kinematical gravitational charge algebra

Freidel¹,

Livine²,

Pranzetti³

2020

Phys. Rev. D

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When formulated in terms of connection and co-frames, and in the time gauge, the phase space of general relativity consists of a pair of conjugate fields: the flux 2-form and the Ashtekar connection. On this phase-space, one has to impose the Gauss constraints, the vector, and scalar Hamiltonian constraints. These are respectively generating local SU(2) gauge transformations, spatial diffeomorphisms, and time diffeomorphisms. We write the Gauss and space diffeomorphism constraints as conservation laws for a set of boundary charges, representing spin and momenta, respectively. We prove that these kinematical charges generate a local Poincaré ISU(2) symmetry algebra. This gives strong support to the recent proposal of Poincaré charge networks as a new realm for discretized general relativity [1]. *

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“…For SYK purposes, one usually considers the vacuum orbit M f = Diff(S 1 )/SL(2, R) as integration manifold for the reparametrization f . It has recently become apparent that also other Virasoro orbits describe interesting deformed Schwarzian systems [25,26,27,28], see also [29]. It is our goal here to systematically study and classify these deformations and in particular identify their JT gravitational content.…”

mentioning

confidence: 99%

Defects in Jackiw-Teitelboim quantum gravity

Mertens

Turiaci

2019

J. High Energ. Phys.

Self Cite

119

222

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We classify and study defects in 2d Jackiw-Teitelboim gravity. We show these are holographically described by a deformation of the Schwarzian theory where the reparametrization mode is integrated over different coadjoint orbits of the Virasoro group. We show that the quantization of each coadjoint orbit is connected to 2d Liouville CFT between branes with insertions of Verlinde loop operators. We also propose an interpretation for the exceptional orbits. We use this perspective to solve these deformations of the Schwarzian theory, computing their partition function and correlators. In the process, we define two geometric observables: the horizon area operator Φ h and the geodesic length operator L(γ). We show this procedure is structurally related to the deformation of the particle-on-a-group quantum mechanics by the addition of a chemical potential. As an example, we solve the low-energy theory of complex SYK with a U(1) symmetry and generalize to the non-abelian case.

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Fine structure of Jackiw-Teitelboim quantum gravity

Cited by 81 publications

References 184 publications

An exact quantization of Jackiw-Teitelboim gravity

An exact quantization of Jackiw-Teitelboim gravity

Kinematical gravitational charge algebra

Defects in Jackiw-Teitelboim quantum gravity

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