Jackiw-Teitelboim gravity in the second order formalism

Moitra, Upamanyu; Sake, Sunil Kumar; Trivedi, Sandip P.

doi:10.1007/jhep10(2021)204

Cited by 22 publications

(52 citation statements)

References 111 publications

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“…The connection between JT gravity and the near horizon dynamics of higher dimensional near-extremal charged and rotating black hole solution has been discussed in [16][17][18]. So far, the connection between the near-extremal black hole and JT gravity and other aspects of JT gravity like its connection with Matrix model has been proposed for two-derivative action [9,[15][16][17][18][19][20][21][22][23][24]. In this paper, we check the validity of this proposal under small perturbations.…”

Section: Jhep01(2022)124 1 Introductionmentioning

confidence: 82%

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Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory

Banerjee

Mandal

Rudra

et al. 2022

J. High Energ. Phys.

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Two derivative Jackiw-Teitelboim (JT) gravity theory captures the near-horizon dynamics of higher dimensional near-extremal black holes, which is governed by a Schwarzian action at the boundary in the near-horizon region. The partition function corresponding to this boundary action correctly gives the statistical entropy of the near-extremal black hole. In this paper, we study the thermodynamics of spherically symmetric four-dimensional near-extremal black holes in presence of arbitrary perturbative four derivative corrections. We find that the near-horizon dynamics is again captured by a JT-like action with a particular namely R2 higher derivative modification. Effectively the theory is described by a boundary Schwarzian action which gets suitably modified due to the presence of the higher derivative interactions. Near-extremal entropy, free energy also get corrected accordingly.

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Section: Jhep01(2022)124 1 Introductionmentioning

confidence: 82%

“…It is the near-horizon AdS2 radius of the four-dimensional near-extremal black hole 20. In addition, a counter-term should be added such that the effective action remains finite as ε → 0.Since the boundary curvature is zero, the counter-term differs from that of a two-derivative theory by a constant scaling[46].…”

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confidence: 99%

Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory

Banerjee

Mandal

Rudra

et al. 2022

J. High Energ. Phys.

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“…More precisely, we find the well defined transition amplitude, referred to in the previous paragraph, arises only if the massless scalar fields we study have appropriate twisted boundary conditions along the spatial direction. In the quantum theory, the path integral involves a sum over a modulus, which is related to the size of the spatial direction, and if the matter boundary conditions are periodic instead, without a twist, the integral over moduli space blows up, as was discussed earlier in [12], and the path integral is ill-defined. With twisted boundary conditions too, while the divergence is avoided for the particular tunnelling amplitude we analyse, it is likely to arise at higher genus or in the case with additional boundaries.…”

Section: Introductionmentioning

confidence: 99%

“…First, to study the behaviour of JT gravity in dS space in more detail, including the pure JT theory and also the theory with extra matter which gives rise to propagating degrees of freedom in the bulk. Second, to analyse certain divergences which arise both in the AdS and dS cases for JT gravity coupled to matter, when we consider the theories at higher genus or with multiple boundaries, as has been discussed in earlier work, [12], in more detail. Some of the key results of the paper are as follows.…”

Section: Introductionmentioning

confidence: 99%

Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime

Moitra,

Sake,

Trivedi

2022

Preprint

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We discuss JT gravity in AdS and dS space in the second order formalism. For the pure dS JT theory without matter, we show that the path integral gives rise in general to the Hartle-Hawking wave function which describes an arbitrary number of disconnected universes produced by tunnelling "from nothing", or to transition amplitudes which describe the tunnelling of an initial state consisting of several contracting universes to a final state of several expanding universes. These processes can be described by a hologram consisting of Random Matrix Theory (RMT) or, we suggest, after some modification on the gravity side, by a hologram with the RMT being replaced by SYK theory. In the presence of matter, we discuss the double trumpet path integral and argue that with suitable twisted boundary conditions, a divergence in the moduli space integral can be avoided and the system can tunnel from a contracting phase to an expanding one avoiding a potential big bang/big crunch singularity. The resulting spectrum of quantum perturbations which are produced can exhibit interesting departures from scale invariance. We also show that the divergence in moduli space can be avoided for suitable correlators which involve different boundaries in the AdS/dS cases, and suggest that a hologram consisting of the SYK theory with additional matter could get rid of these divergences in general. Finally, we analyse the AdS double trumpet geometry and show that going to the micro-canonical ensemble instead of the canonical one, for the spectral form factor, does not get rid of the divergence in moduli space.

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“…Covariant phase space in the presence of boundaries is reviewed in [24]. Jackiw-Teitelboim gravity [25,26] at a finite boundary cutoff was studied in [27][28][29], with results relating to the spectrum of T T -deformed quantum mechanics obtained in [30,31]. An important subtlety that arises, discussed in [27], is the distinction between microscopic versus effective theories of the JT gravity path integral, and the resulting nontrivial relations among the parameters and couplings; presumably these issues are also present in our context.…”

Section: Introductionmentioning

confidence: 99%

Field Theory of Interacting Boundary Gravitons

Ebert¹,

Hijano²,

Kraus³

et al. 2022

Preprint

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Pure three-dimensional gravity is a renormalizable theory with two free parameters labelled by G and Λ. As a consequence, correlation functions of the boundary stress tensor in AdS 3 are uniquely fixed in terms of one dimensionless parameter, which is the central charge of the Virasoro algebra. The same argument implies that AdS 3 gravity at a finite radial cutoff is a renormalizable theory, but now with one additional parameter corresponding to the cutoff location. This theory is conjecturally dual to a T T -deformed CFT, assuming that such theories actually exist. To elucidate this, we study the quantum theory of boundary gravitons living on a cutoff planar boundary and the associated correlation functions of the boundary stress tensor. We compute stress tensor correlation functions to two-loop order (G being the loop counting parameter), extending existing tree level results. This is made feasible by the fact that the boundary graviton action simplifies greatly upon making a judicious field redefinition, turning into the Nambu-Goto action. After imposing Lorentz invariance, the correlators at this order are found to be unambiguous up to a single undetermined renormalization parameter.

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Jackiw-Teitelboim gravity in the second order formalism

Cited by 22 publications

References 111 publications

Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory

Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory

Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime

Field Theory of Interacting Boundary Gravitons

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