Near-extremal limits of warped CFTs

Aggarwal, Ankit; Castro, Alejandra; Detournay, Stéphane; Mühlmann, Beatrix

doi:10.21468/scipostphys.15.2.056

Cited by 3 publications

(11 citation statements)

References 22 publications

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“…In its essence, a WCFT is a non-relativistic field theory whose symmetries are sl(2) × u (1). Examples of WCFTs, and its field theoretic properties, have been reported in [22][23][24][25][26][27][28][29], and evidence towards a WAdS/WCFT correspondence can be found in [11,[30][31][32][33][34][35][36]. Although this proposal seems compelling, and might be compatible with the second proposal involving deformations, it also suffers from ambiguities.…”

Section: Introductionmentioning

confidence: 83%

“…Here f (θ ) is a diffeomorphism and g(θ ) an arbitrary function. This suggests that a gravity theory with WAdS 3 boundary conditions is dual to a WCFT, whose intrinsic and holographic properties have been explored in various works [11,[22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65].…”

Section: Warped Black Hole: Canonical Ensemblementioning

confidence: 99%

“…The values in (18) and (22) show a persistent feature of holographic WCFTs: they typically have negative level and P vac 0 is purely imaginary. This makes the theories non-unitary; still, these features are manageable, rich, and interesting as they lead to intriguing synergy with black holes [27,29].…”

Section: Warped Black Hole: Canonical Ensemblementioning

confidence: 99%

“…In [29], we derived the near-extremal behaviour of a WCFT, both in the canonical and quadratic ensemble. The key results we obtained are as follows.…”

Section: Comparing Perspectivesmentioning

confidence: 99%

“…2 For a recent review, see [39]. 3 The field-theoretic analysis of the near-extremal limit of WCFTs was done in [28,29].…”

Section: Introductionmentioning

confidence: 99%

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Near-extremal limits of warped black holes

Aggarwal,

Castro,

Detournay

et al. 2023

SciPost Phys.

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A holographic description of three-dimensional warped black holes suffers from ambiguities due to a seemingly harmless choice of coordinate system. This gives rise to the notion of ensembles in warped black holes, and we focus on two of them: the canonical and quadratic ensemble. Our aim is to quantify the imprint of these ensembles in the near-extremal limit of a warped black hole. To this end, for each ensemble, we explore the thermodynamic response and evaluate greybody factors. We also set-up a holographic dictionary in their near-AdS_22 region, and decode aspects of the dual near-CFT_11. This gives us different perspectives of the black hole that we can contrast and compare. On the one hand, we find perfect agreement between the near-extremal limit of the canonical ensemble warped black holes, their near-AdS_22 effective analysis, and a warped conformal field theory description. On the other, we are led to rule out the quadratic ensemble due to inconsistencies at the quantum level with the near-AdS_22 effective description.

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Section: Introductionmentioning

confidence: 83%

Section: Warped Black Hole: Canonical Ensemblementioning

confidence: 99%

Section: Warped Black Hole: Canonical Ensemblementioning

confidence: 99%

“…In [29], we derived the near-extremal behaviour of a WCFT, both in the canonical and quadratic ensemble. The key results we obtained are as follows.…”

Section: Comparing Perspectivesmentioning

confidence: 99%

“…2 For a recent review, see [39]. 3 The field-theoretic analysis of the near-extremal limit of WCFTs was done in [28,29].…”

Section: Introductionmentioning

confidence: 99%

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Near-extremal limits of warped black holes

Aggarwal,

Castro,

Detournay

et al. 2023

SciPost Phys.

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The near horizon dynamics in three-dimensional Einstein gravity

Afshar,

Aghamir

2024

J. High Energ. Phys.

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Boundary conditions for extremal black holes from 2d gravity

Detournay,

Smoes,

Wutte

2024

SciPost Phys.

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We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional uplift of recently proposed boundary conditions in two-dimensional gravity. Their asymptotic symmetries consist in the semi-direct product of a Virasoro and a current algebra, of which we determine the central extensions.

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Near-extremal limits of warped CFTs

Cited by 3 publications

References 22 publications

Near-extremal limits of warped black holes

Near-extremal limits of warped black holes

The near horizon dynamics in three-dimensional Einstein gravity

Boundary conditions for extremal black holes from 2d gravity

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