Hydrodynamics of simply spinning black holes &amp; hydrodynamics for spinning quantum fluids

Garbiso, Markus; Kaminski, Matthias

doi:10.48550/arxiv.2007.04345

Cited by 3 publications

(3 citation statements)

References 90 publications

(197 reference statements)

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“…The result (30) shares some features with the AdS 5 case studied recently in [39]. The value of η/s approaches the bound 1 4π in the non-rotating limit a → 0, which has been computed in [30] for non-rotating AdS D (D ≥ 3).…”

Section: Fig 1: Renormalization Group Flow In a Rotating Ads Black Holesupporting

confidence: 80%

Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT$_2$ and Viscosity

Nian,

Zayas

2020

Preprint

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Using the AdS/CFT correspondence we consider the retarded Green's function in the background of rotating near-extremal AdS 4 black holes. Following the canonical AdS/CFT dictionary into the asymptotic boundary we get a CFT 3 result. We also take a new route and zoom in on the near-horizon region, blow up this region and show that it yields a CFT 2 result. We argue that the decoupling of the near-horizon region is akin to the decoupling of the near-throat region of a D3-brane, which led to the original formulation of the AdS/CFT correspondence, thus implying that the Kerr/CFT correspondence follows as a decoupling of the standard AdS/CFT correspondence applied to rotating black holes. As a byproduct, we compute the shear viscosity to entropy density ratio for the strongly coupled boundary CFT 3 , and find that it violates the 1/(4π) bound.Introduction.-One of the conceptual legacies of the AdS/CFT correspondence [1-3] is its geometrization of the renormalization group flow in quantum field theories. The interpretation of the radial direction of the asymptotically AdS spacetime as the renormalization group scale has been widely discussed [4][5][6][7][8][9]. Most of the existing literature, however, has focused on the holographic counterpart of the field theory living at the asymptotic boundary and in spherically symmetric cases. In this letter we explore some implications of considering a rotating asymptotically AdS black hole background and an emergent IR CFT 2 .The emergence of a Virasoro algebra as asymptotic symmetries in the near-horizon region of extremal Kerr black holes in asymptotically flat spacetimes is at the heart of the Kerr/CFT correspondence [10]; through the Cardy formula, this algebra reproduces the Bekenstein-Hawking entropy. This correspondence, originally formulated in the near-horizon region of an extremal asymptotically flat Kerr black hole, has been generalized to near-extremal asymptotically flat and asymptotically AdS Kerr-Newman black holes [11][12][13][14][15]. The question we pursue in this letter is: what are the implications of embedding the Kerr/CFT correspondence in a larger AdS/CFT context? We will see that this embedding provides a framework for a UV completion and justifies the Kerr/CFT correspondence as a stand-alone conjecture.An important motivation to revisit the status of the Kerr/CFT correspondence in the larger context of AdS/CFT embeddings comes from recent developments in the physics of rotating, electrically charged, asymptotically AdS black holes. These black holes in dimensions four, five, six and seven, have recently been provided a microscopic foundation for their Bekenstein-Hawking entropy using the superconformal index of the dual . Quite interestingly, a universal and unifying description à la Kerr/CFT that provides a microscopic foundation for the Bekenstein-Hawking entropy of all these black holes by focusing only on a certain near-horizon region, its CFT 2 and applying the Cardy formula was implemented in [24][25][26].The general situation is one in which for ...

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Section: Fig 1: Renormalization Group Flow In a Rotating Ads Black Holesupporting

confidence: 80%

Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT$_2$ and Viscosity

Nian,

Zayas

2020

Preprint

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“…and physically relevant quasinormal modes (i.e. those with regular angular profiles) correspond to frequencies ω(k, l) at which ingoing solutions to the radial Teukolsky equations with (ω, λ(ω, k, l), k) satisfy the asymptotic boundary conditions in equations (5.25) and (5.26) (see [80] for a study of these modes and [88] for a higherdimensional generalisation). Now, for planar black holes, if we wish to relate the functional form of the OTOC along the x direction to the location of pole-skipping points, we would do this by considering pole-skipping points where the wavevector q in the boundary Green's function is aligned along the x direction [13][14][15].…”

Section: Equatorial Otoc and Pole-skipping In The Slowly Rotating Limitmentioning

confidence: 99%

Chaos and pole-skipping in rotating black holes

Blake¹,

Davison²

2021

Preprint

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We study the connection between many-body quantum chaos and energy dynamics for the holographic theory dual to the Kerr-AdS black hole. In particular, we determine a partial differential equation governing the angular profile of gravitational shock waves that are relevant for the computation of out-of-time ordered correlation functions (OTOCs). Further we show that this shock wave profile is directly related to the behaviour of energy fluctuations in the boundary theory. In particular, we demonstrate using the Teukolsky formalism that at complex frequency ω * = i2πT there exists an extra ingoing solution to the linearised Einstein equations whenever the angular profile of metric perturbations near the horizon satisfies this shock wave equation. As a result, for metric perturbations with such temporal and angular profiles we find that the energy density response of the boundary theory exhibit the signatures of "pole-skipping" -namely, it is undefined, but exhibits a collective mode upon a parametrically small deformation of the profile. Additionally, we provide an explicit computation of the OTOC in the equatorial plane for slowly rotating large black holes, and show that its form can be used to obtain constraints on the dispersion relations of collective modes in the dual CFT. Contents 1 Introduction 1 2 The Kerr-AdS Black Hole 4 3 OTOCs in Kerr-AdS black holes 7 3.1 Equatorial OTOC in Kerr-AdS black holes 10 4 Near-horizon metric perturbations of Kerr-AdS 13 5 Pole-skipping and quasinormal modes in Kerr-AdS 15 5.1 The Teukolsky equations 16 5.2 Existence of extra ingoing modes 18 5.3 Quasinormal modes and pole-skipping 23 5.4 Equatorial OTOC and pole-skipping in the slowly rotating limit 25 6 Discussion 28 A Kerr-AdS metric in Kruskal-like coordinates 31 B Shock wave profile in slowly-rotating limit 32 C Additional details of Teukolsky formalism 33 D Explicit demonstration of existence of a quasinormal mode 35

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“…However, peripheral collisions are also of great interest and have recently yielded very interesting data, again from the RHIC experiments [51][52][53]. In this case, the holographic model of the QGP involves AdS 5 -Kerr black holes [54][55][56][57]. Apart from a small set of parameter values [58], which do not occur here, it turns out that such black holes always satisfy a simple inequality:…”

Section: Example: the Quark-gluon Plasma At The Rhicmentioning

confidence: 99%

Holographic Dual of The Weak Gravity Conjecture

McInnes

2020

Preprint

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The much-discussed Weak Gravity Conjecture is interesting and important in both the asymptotically flat and the asymptotically AdS contexts. In the latter case, it is natural to ask what conditions it (and the closely related Cosmic Censorship principle) imposes, via gauge-gravity duality, on the boundary field theory. We find that these conditions take the form of lower bounds on the number of colours in this theory: that is, the WGC and Censorship might (depending on the actual sizes of the bounds) enforce the familiar holographic injunction that this number should be "large". We explicitly estimate lower bounds on this number in the case of the application of holography to the quarkgluon plasma produced in heavy ion collisions. We find that classical Censorship alone prohibits realistically small values for the number of colours, but that the WGC offers hope of resolving this problem.

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Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids

Cited by 3 publications

References 90 publications

Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT$_2$ and Viscosity

Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT$_2$ and Viscosity

Chaos and pole-skipping in rotating black holes

Holographic Dual of The Weak Gravity Conjecture

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