Semi-local quantum criticality and the instability of extremal planar horizons

Gralla, Samuel E.; Ravishankar, Arun; Zimmerman, Peter

doi:10.1007/jhep12(2018)087

Cited by 3 publications

(4 citation statements)

References 38 publications

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“…We will essentially copy a similar derivation in [168], which shows how a Lieb-Robinson bound implies exponential decay of correlations in gapped systems. As explained in [114,135,136], a holomorphic ∆( p) near zero, or more precisely on a strip near the real axis, leads to exponential decay in (B.9). Technically, this is a consequence of the Paley-Wiener theorem (see e.g.…”

Section: B Exponential Decay Of Correlations At Equal Timementioning

confidence: 89%

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A holographic derivation of the weak gravity conjecture

Montero

2019

J. High Energ. Phys.

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The Weak Gravity Conjecture (WGC) demands the existence of superextremal particles in any consistent quantum theory of gravity. The standard lore is that these particles are introduced to ensure that extremal black holes are either unstable or marginally stable, but it is not clear what is wrong if this doesn't happen. This note shows that, for a generic Einstein quantum theory of gravity in AdS, exactly stability of extremal black branes is in tension with rigorously proven quantum information theorems about entanglement entropy. Avoiding the contradiction leads to a nonperturbative version of the WGC, which reduces to the usual statement at weak coupling. The argument is general, and it does not rely on either supersymmetry or a particular UV completion, assuming only the validity of Einsteinian gravity, effective field theory, and holography. The pathology is related to the development of an infinite throat in the near-horizon region of the extremal solutions, which suggests a connection to the ER=EPR proposal.So far, there is a healthy number of proposed Swampland criteria. Among these, one may count the Swampland Distance Conjecture [4], the Chern-Simons Pandemic [5], or the recent conjecture on the scalar potential [6,7], which leads to the dramatic (and debated [8-30]) conclusion that there are no de Sitter vacua in string theory (this has been suspected long before [6,31]; see [32] for a thorough review of the stringy arguments against de Sitter,and [33] for arguments supporting the conjecture). Most of these remain conjectures primarily supported by a large variety of stringy examples.There are few cases where more solid arguments can be given: Absence of continuous spin representations can be rigorously proven in string theory [34], and there are also heuristic arguments supporting it [35]. The absence of global symmetries in quantum gravity [36][37][38][39] is very well supported by both heuristics [40], worldsheet [41] and holographic [42-45] arguments.One of the most far-reaching Swampland constraints is the Weak Gravity Conjecture (WGC) [46]. In its original form, it says that in any effective field theory with gauge fields consistently coupled to Einsteinian gravity, there should be a state whose charge-to-mass ratio is equal to or larger than that of an extremal black hole. This has the effect of rendering the black hole unstable via Schwinger pair production of charged particles. This is only the mildest form of the conjecture. There are several more refined and constraining versions, such as a version applying to axions and other p-form fields, the Convex Hull Condition [47], Lattice and Tower WGC [48, 49], scalar versions of the conjecture [50-53] (leading to a connection to the Distance Conjecture and emergence [54-57]), and a variant leading to the instability of nonsupersymmetric AdS space [58, 59] (and to proposed constraints on the Standard Model [60-63]).Variants of the WGC have also been argued to constrain axion models of inflation or relaxation [48,58,[64][65][66][67][68][69][70][71][7...

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Section: B Exponential Decay Of Correlations At Equal Timementioning

confidence: 89%

“…As reviewed in Section 2, under these circumstances we expect an emergent conformal IR symmetry. In particular, this symmetry controls correlators of Euclidean local single-trace operators O( x, t)O ( x , t ) in the regime [114,135,136]…”

Section: A Black Hole Paradoxmentioning

confidence: 99%

A holographic derivation of the weak gravity conjecture

Montero

2019

J. High Energ. Phys.

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“…Buoyed by this hope, in this paper we initiate the study of the Aretakis instability in the exceptionally simple setting of a 2+1-dimensional black holethe Bañados-Teitelboim-Zanelli (BTZ) spacetime [20,21]. As this black hole has negative cosmological constant, the results may also help understand the holographic implications of the instability [22,23].…”

Section: Jhep05(2020)094mentioning

confidence: 99%

Horizon instability of the extremal BTZ black hole

Gralla¹,

Ravishankar²,

Zimmerman³

2020

J. High Energ. Phys.

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We study real-time propagation of a massive scalar field on the extremal BTZ black hole spacetime, focusing on the Aretakis instability of the event horizon. We obtain a simple time-domain expression for the AdS 3 retarded Green function with Dirichlet boundary conditions and construct the corresponding time-domain BTZ retarded Green function using the method of images. The field decays at different rates on and off the horizon, indicating that transverse derivatives grow with time on the horizon (Aretakis instability). We solve the null geodesic equation in full generality and show that the instability is associated with a class of null geodesics that orbit near the event horizon arbitrarily many times before falling in. In an appendix we also treat the problem in the frequency domain, finding consistency between the methods.

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“…Buoyed by this hope, in this paper we initiate the study of the Aretakis instability in the exceptionally simple setting of a 2+1-dimensional black hole-the Bañados-Teitelboim-Zanelli (BTZ) spacetime [20,21]. As this black hole has negative cosmological constant, the results may also help understand the holographic implications of the instability [22,23].…”

mentioning

confidence: 99%

Horizon Instability of the Extremal BTZ Black Hole

Gralla,

Ravishankar,

Zimmerman

2019

Preprint

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Semi-local quantum criticality and the instability of extremal planar horizons

Cited by 3 publications

References 38 publications

A holographic derivation of the weak gravity conjecture

A holographic derivation of the weak gravity conjecture

Horizon instability of the extremal BTZ black hole

Horizon Instability of the Extremal BTZ Black Hole

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