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

Banerjee, Narayan; Mandal, Taniya; Rudra, Arnab; Saha, Muktajyoti

doi:10.1007/jhep01(2022)124

Cited by 12 publications

(4 citation statements)

References 55 publications

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“…In this section, we study the complexity growth of one dimensional CFT that is dual to a higher derivative corrected JT like theory in two dimension. The two dimensional JT like gravitational theory we are considering is constructed upon dimensional reduction of the following four dimensional action [53],…”

Section: Complexity Growth Of Higher Derivative Corrected Jt Gravitymentioning

confidence: 99%

“…Complexity of JT gravity following CV conjecture and a comparison of that with the Krylov complexity of the dual SYK model has been discussed in [52]. A higher derivative corrected JT like model has been discussed in [53] which encapsulates the near extremal behaviour of a four dimensional black holes with arbitrary quartic corrections in four dimensions. In this paper, we also briefly discuss the late time complexity growth rate of this higher derivative corrected JT like model in two dimensions.…”

Section: Introductionmentioning

confidence: 99%

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Action complexity of charged black holes with higher derivative interactions

Mandal¹,

Mitra²,

Punia³

2022

Preprint

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Quantum complexity of CFT states can be computed holographically from the dual gravitational solutions. In this paper, we have studied the late time growth of holographic complexity of a charged black hole in five dimensional Antide Sitter spacetime in the presence of quartic derivative interaction terms using the Complexity = Action conjecture. These interaction terms in the gravitational action can lead to the violation of Llyod's bound. The dual CFT is known to admit a hydrodynamic description where the KSS bound is also violated due to the presence of higher derivative terms in the bulk action. The origin of terms which violate both the bounds are the same for the gravitational action of consideration. We have also discussed the late time complexity growth rate of the Jackiw-Teitelboim (JT) model with higher derivative corrections.

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Section: Complexity Growth Of Higher Derivative Corrected Jt Gravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Action complexity of charged black holes with higher derivative interactions

Mandal¹,

Mitra²,

Punia³

2022

Preprint

Self Cite

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“…Corresponding partition function that includes quantum corrections, takes in to account the path integrals over all possible boundaries t(u) up to SL(2, R) identification and is given by [10,37], The near extremal entropy is…”

Section: Near Extremal Entropymentioning

confidence: 99%

“…This link prompts one to investigate the connection between JT gravity, near-extremal black holes and the SYK model at the low energy limit [7][8][9]. A suitable modification of JT gravity by higher derivative terms also captures the dynamics of higher derivative modified, four-dimensional near-extremal black hole [10]. More generally, JT gravity theories defined on any manifold with at least one asymptotic boundary depends on the choice of the boundary curves and one has to do a path integral over the different choices for these curves as well [3,8,11].…”

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confidence: 99%

Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity

Chattopadhyay,

Mandal

2021

Preprint

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Freudenthal duality (F-duality), an anti-involution of charge vectors keep the entropy and attractor solutions invariant for an extremal supersymmetric black hole. In this paper, we analyze the effect of F-duality on the entropy of a near-extremal ST U black hole in N = 2 ungauged, four-dimensional supergravity. We consider doubleextremal black holes, whose attractor solutions are fixed in terms of the black hole charges throughout the moduli space. It is well known that JT gravity governs the dynamics of the near-horizon regions of higher dimensional, near-extremal black holes. Owing to this fact, we reduce the four-dimensional supergravity theory to two dimensions to construct a Jackiw-Teitelboim (JT) gravity like model and compute the near-extremal entropy. We then analyze the effect of F-duality on this entropy.We show that the F-duality breaks down for the case of near-extremal solutions if one considers the duality operation generated through near-extremal entropy rather than the extremal one.

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Boundary correlators and the Schwarzian mode

Daguerre

2024

J. High Energ. Phys.

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The effective low temperature dynamics of near-extremal black holes is governed by the quantum fluctuations of the Schwarzian mode of JT gravity. Utilizing as a proxy a planar charged black hole in asymptotically Anti-de-Sitter spacetime, we investigate the effects of these fluctuations on a probe scalar field. The corresponding holographic real-time boundary correlators are computed following a holographic renormalization procedure, using the dubbed gravitational Schwinger-Keldysh geometry (grSK) and known exact results of boundary correlators from the near-horizon region. This analysis gives rise to a retarded Green’s function that decays as a power law for late Lorentzian times. Its analytic structure indicates the presence of a branch cut in the complex frequency domain at finite temperature. These features are a non-perturbative hallmark that prevails as long as the planar transverse space is kept compact.

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

Cited by 12 publications

References 55 publications

Action complexity of charged black holes with higher derivative interactions

Action complexity of charged black holes with higher derivative interactions

Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity

Boundary correlators and the Schwarzian mode

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