Black holes and conformal Regge bootstrap

Karlsson, Robin; Kulaxizi, Manuela; Parnachev, Andrei; Tadić, Petar

doi:10.1007/jhep10(2019)046

Cited by 42 publications

(112 citation statements)

References 110 publications

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“…(1.15) fails in odd dimensions. However, the heavy-light conformal blocks are known [41], so a similar approach should be feasible.…”

Section: Discussionmentioning

confidence: 99%

“…In the context of higher dimensional CFTs, this problem was first considered in [30] where the gravitational expression was given to all orders in µ and the CFT computation was performed to O(µ). Subsequently, O(µ 2 ) was discussed in [41]. In [39] the O(µ) contribution was exponentiated to yield the scattering phase shift in the presence of a shock-wave geometry.…”

Section: Discussionmentioning

confidence: 99%

“…Below we review the setup of a heavy-heavy-light-light correlator with focus on its behaviour in the lightcone limit. We mostly follow [30,41,32].…”

Section: Review Of Heavy-heavy-light-light Correlator In the Lightconmentioning

confidence: 99%

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Leading multi-stress tensors and conformal bootstrap

et al. 2020

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Near lightcone correlators are dominated by operators with the lowest twist. We consider the contributions of such leading lowest twist multi-stress tensor operators to a heavyheavy-light-light correlator in a CFT of any even dimensionality with a large central charge.An infinite number of such operators contribute, but their sum is described by a simple ansatz. We show that the coefficients in this ansatz can be determined recursively, thereby providing an operational procedure to compute them. This is achieved by bootstrapping the corresponding near lightcone correlator: conformal data for any minimal-twist determines that for the higher minimal-twist and so on. To illustrate this procedure in four spacetime dimensions we determine the contributions of double-and triple-stress tensors.We compute the OPE coefficients; whenever results are available in the literature, we observe complete agreement. We also compute the contributions of double-stress tensors in six spacetime dimensions and determine the corresponding OPE coefficients. In all cases the results are consistent with the exponentiation of the near lightcone correlator. This is similar to the situation in two spacetime dimensions for the Virasoro vacuum block. September 2019karlsson, manuela, parnachev, tadicp @ maths.tcd.ie

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“…(1.15) fails in odd dimensions. However, the heavy-light conformal blocks are known [41], so a similar approach should be feasible.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Leading multi-stress tensors and conformal bootstrap

et al. 2020

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“…1 Recall that the twist of an operators is defined as its dimension minus its spin. 2 For related recent discussions, see [12][13][14]. 3 The analogous connection between leading twist operators and Regge limits in the context of single-trace operators at weak coupling was analyzed in [15].…”

Section: Discussionmentioning

confidence: 99%

“…It is easy to check that X 2 = −1 using this metric. It is related to the lightcone coordinate used in (12)…”

Section: Embedding Spacementioning

confidence: 99%

Probing universalities in d > 2 CFTs: from black holes to shockwaves

Fitzpatrick

Huang

2019

J. High Energ. Phys.

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Gravitational shockwaves are insensitive to higher-curvature corrections in the action. Recent work found that the OPE coefficients of lowest-twist multi-stress-tensor operators, computed holographically in a planar black hole background, are insensitive as well. In this paper, we analyze the relation between these two limits. We explicitly evaluate the two-point function on a shockwave background to all orders in a large central charge expansion. In the geodesic limit, we find that the ANEC exponentiates in the multi-stress-tensor sector. To compare with the black hole limit, we obtain a recursion relation for the lowest-twist products of two stress tensors in a spherical black hole background, letting us efficiently compute their OPE coefficients and prove their insensitivity to higher curvature terms. After resumming the lowest-twist stress-tensors and analytically continuing their contributions to the Regge limit, we find a perfect agreement with the shockwave computation. We also discuss the role of double-trace operators, global degenerate states, and multi-stress-tensor conformal blocks. These holographic results suggest the existence of a larger universal structure in higher-dimensional CFTs.

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Light rings of five-dimensional geometries

Bianchi

Consoli

Grillo

et al. 2021

J. High Energ. Phys.

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We study massless geodesics near the photon-spheres of a large family of solutions of Einstein-Maxwell theory in five dimensions, including BHs, naked singularities and smooth horizon-less JMaRT geometries obtained as six-dimensional uplifts of the five-dimensional solution. We find that a light ring of unstable photon orbits surrounding the mass center is always present, independently of the existence of a horizon or singularity. We compute the Lyapunov exponent, characterizing the chaotic behaviour of geodesics near the ‘photon-sphere’ and the time decay of ring-down modes dominating the response of the geometry to perturbations at late times. We show that, for geometries free of naked singularities, the Lyapunov exponent is always bounded by its value for a Schwarzschild BH of the same mass.

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Black holes and conformal Regge bootstrap

Cited by 42 publications

References 110 publications

Leading multi-stress tensors and conformal bootstrap

Leading multi-stress tensors and conformal bootstrap

Probing universalities in d > 2 CFTs: from black holes to shockwaves

Light rings of five-dimensional geometries

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