More on the SW-QNM correspondence

Bianchi, Massimo; Consoli, Dario; Grillo, Alfredo; Morales, José F.

doi:10.1007/jhep01(2022)024

Cited by 42 publications

(30 citation statements)

References 83 publications

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“…In general, it might not be possible to find analytic expressions for the solutions to (4.38). However, given the fruitful application of analytic approaches to even (the separated ordinary different equations associated to) the wave equation, for instance in terms isomonodromic deformations [75], conformal blocks [76][77][78][79][80][81] or Seiberg-Witten theory [82][83][84] one should expect that (4.38) is amenable to such approaches too. To make a connection to these works, it is useful to consider (4.38) in terms of {θ, p θ } instead of u where, from (4.4) and (4.10)…”

Section: The Kerr Black Holementioning

confidence: 99%

Quasinormal Modes from Penrose Limits

Fransen¹

2023

Preprint

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We use Penrose limits to approximate quasinormal modes with large real frequencies. The Penrose limit associates a plane wave to a region of spacetime near a null geodesic. This plane wave can be argued to geometrically realize the geometrical optics approximation. Therefore, when applied to the bound null orbits around black holes, the Penrose limit can be used to study quasinormal modes. For instance, this Penrose limit point of view makes manifest the symmetry that emerges in the geometrical optics approximation of quasinormal modes in terms of isometries of the resulting plane wave spacetime. We apply the procedure to warped AdS3, Schwarzschild black holes and Kerr black holes. In the former we show explicitly how the symmetry algebra contracts to that of the limiting plane wave while in the latter we find the expected agreement with numerically computed quasinormal modes for large (real) frequencies. Contents 1. Introduction 2. Warped AdS 3 3. The Schwarzschild black hole 4. The Kerr black hole 5. Conclusion and outlook References

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Section: The Kerr Black Holementioning

confidence: 99%

Quasinormal Modes from Penrose Limits

Fransen¹

2023

Preprint

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“…These calculations are important [200,201], since ring-down frequencies, echoes and tidal Love numbers can be extracted from gravitational-wave data. These calculations can be done both in superstrata [37,199], where the wave equation for scalar fields is separable [119], and in more complicated BPS bubbling geometries where no such separability exists [202,203]. While these calculations are done in microstate geometries of black holes that are far from real-world black holes, some of the physics they reveal could be universal, and characterize horizon-scale structure of generic black holes.…”

Section: Thermalization Tidal Scrambling and Information Recoverymentioning

confidence: 99%

Fuzzballs and Microstate Geometries: Black-Hole Structure in String Theory

Bena¹,

Martinec²,

Mathur³

et al. 2022

Preprint

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The black-hole information paradox provides one of the sharpest foci for the conflict between quantum mechanics and general relativity and has become the proving-ground of would-be theories of quantum gravity. String theory has made significant progress in resolving this paradox, and has led to the fuzzball and microstate geometry programs. The core principle of these programs is that horizons and singularities only arise if one tries to describe gravity using a theory that has too few degrees of freedom to resolve the physics. String theory has sufficiently many degrees of freedom and this naturally leads to fuzzballs and microstate geometries: The reformation of black holes into objects with neither horizons nor singularities. This not only resolves the paradox but provides new insights into the microstructure of black holes. We summarize the current status of this approach and describe future prospects and additional insights that are now within reach. This paper is an expanded version of our Snowmass White Paper [1].

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“…• Quasi-normal modes of black holes in flat space were recently connected to fourdimensional supersymmetric gauge theories [79], see also [80]. In that work an exact Bohr-Sommerfeld quantization condition was formulated and solved using the Nekrasov partition function in a particular phase of the Ω-background [81][82][83].…”

Section: Discussionmentioning

confidence: 99%

Gravitational orbits, double-twist mirage, and many-body scars

Dodelson¹,

Zhiboedov²

2022

Preprint

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We explore the implications of stable gravitational orbits around an AdS black hole for the boundary conformal field theory. The orbits are long-lived states that eventually decay due to gravitational radiation and tunneling. They appear as narrow resonances in the heavy-light OPE when the spectrum becomes effectively continuous due to the presence of the black hole horizon. Alternatively, they can be identified with quasi-normal modes with small imaginary part in the thermal two-point function. The two pictures are related via the eigenstate thermalisation hypothesis. When the decay effects can be neglected the orbits appear as a discrete family of double-twist operators. We investigate the connection between orbits, quasi-normal modes, and double-twist operators in detail. Using the corrected Bohr-Sommerfeld formula for quasi-normal modes, we compute the anomalous dimension of double-twist operators. We compare our results to the prediction of the light-cone bootstrap, finding perfect agreement where the results overlap. We also compute the orbit decay time due to scalar radiation and compare it to the tunneling rate. Perturbatively in spin, in the light-cone bootstrap framework double-twist operators appear as a small fraction of the Hilbert space which violate the eigenstate thermalization hypothesis, a phenomenon known as many-body scars. Nonperturbatively in spin, the double-twist operators become long-lived states that eventually thermalize. We briefly discuss the connection between perturbative scars in holographic theories and known examples of scars in the condensed matter literature.

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More on the SW-QNM correspondence

Cited by 42 publications

References 83 publications

Quasinormal Modes from Penrose Limits

Quasinormal Modes from Penrose Limits

Fuzzballs and Microstate Geometries: Black-Hole Structure in String Theory

Gravitational orbits, double-twist mirage, and many-body scars

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