Trans-IR flows to black hole singularities

Cáceres, Elena; Kundu, Arnab; Patra, Ayan K.; Shashi, Sanjit

doi:10.1103/physrevd.106.046005

Cited by 22 publications

(27 citation statements)

References 71 publications

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“…we may transform ρ to a radial coordinate r which is real everywhere, as done in [10]. Specifically, we set…”

Section: Review Of A-functions In Symmetric Flowsmentioning

confidence: 99%

“…In [10], we explored whether such holographic trans-IR flows represent coarse graining like conventional flows do. This idea is made concrete by the existence of monotonic functions which decrease from the UV to the IR and thus "count" degrees of freedom, like Zamolodchikov's cfunction [11], Cardy's a-function [12,13], and their holographic analogs [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…This idea is made concrete by the existence of monotonic functions which decrease from the UV to the IR and thus "count" degrees of freedom, like Zamolodchikov's cfunction [11], Cardy's a-function [12,13], and their holographic analogs [14][15][16]. We constructed [10] a thermal analog to the usual holographic a-function of [14][15][16] which, assuming the null energy condition (NEC), monotonically decreases along the full flow. Thus, we interpreted the trans-IR as describing coarse graining.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…However, the black hole solutions we studied in [10] were highly symmetric-namely planar and isotropic. So, it is natural to ask to what extent the results of [10] rely on the symmetric nature of the background. Can we construct a monotonic function along the entire flow-including the trans-IR-in less symmetric cases?…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic Flows into Black Holes

Cáceres¹,

Shashi²

2022

Preprint

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We consider anisotropic black holes in the context of holographic renormalization group (RG) flows. We construct an a-function that is stationary at the boundary and the horizon and prove that it is also monotonic in both the exterior and the interior of the black hole. In spite of the reduced symmetry, we find that the "radial" null energy condition is sufficient to ensure the existence of this monotonic a-function. After constructing the a-function, we explore a holographic anisotropic p-wave superfluid state as a concrete example and numerical testing grounds. In doing so, we find that the a-function exhibits nontrivial oscillations in the trans-IR regime while preserving monotonicity. Such oscillations drive the trans-IR flow into nontrivial fixed points. We conclude by briefly discussing how our work fits into both the broader program of holographic RG flow and quantum information approaches to probing the black hole interior.

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“…we may transform ρ to a radial coordinate r which is real everywhere, as done in [10]. Specifically, we set…”

Section: Review Of A-functions In Symmetric Flowsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Anisotropic Flows into Black Holes

Cáceres¹,

Shashi²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

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Anisotropic flows into black holes

Cáceres

Shashi

2023

J. High Energ. Phys.

Self Cite

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We consider anisotropic black holes in the context of holographic renormalization group (RG) flows. We construct an a-function that is stationary at the boundary and the horizon and prove that it is also monotonic in both the exterior and the interior of the black hole. In spite of the reduced symmetry, we find that the “radial” null energy condition is sufficient to ensure the existence of this monotonic a-function. After constructing the a-function, we explore a holographic anisotropic p-wave superfluid state as a concrete example and numerical testing grounds. In doing so, we find that the a-function exhibits nontrivial oscillations in the trans-IR regime while preserving monotonicity. We find evidence that such oscillations appear to drive the trans-IR flow into nontrivial fixed points. We conclude by briefly discussing how our work fits into both the broader program of holographic RG flow and quantum information approaches to probing the black hole interior.

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Wheeler-DeWitt states of the AdS-Schwarzschild interior

Hartnoll

2023

J. High Energ. Phys.

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We solve the Wheeler-DeWitt equation for the planar AdS-Schwarzschild interior in a minisuperspace approximation involving the volume and spatial anisotropy of the interior. A Gaussian wavepacket is constructed that is peaked on the classical interior solution. Simple observables are computed using this wavepacket, demonstrating the freedom to a choose a relational notion of ‘clock’ in the interior and characterizing the approach to the spacelike singularity. The Wheeler-DeWitt equation may be extended out through the horizon, where it describes the holographic renormalization group flow of the black hole exterior. This amounts to the Hamilton-Jacobi evolution of the metric component gtt from positive interior values to negative exterior values. The interior Gaussian wavepacket is shown to evolve into the Lorentizan partition function of the boundary conformal field theory over a microcanonical energy window.

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Trans-IR flows to black hole singularities

Cited by 22 publications

References 71 publications

Anisotropic Flows into Black Holes

Anisotropic Flows into Black Holes

Anisotropic flows into black holes

Wheeler-DeWitt states of the AdS-Schwarzschild interior

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