Thermalization in large-N CFTs

Karlsson, Robin; Parnachev, Andrei; Tadić, Petar

doi:10.1007/jhep09(2021)205

Cited by 18 publications

(39 citation statements)

References 91 publications

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“…First, we note that the small µ expansion is closely related to the large L expansion. Moreover, the large L expansion translates into the large spin J expansion which naturally appears in the context of the light-cone bootstrap [13][14][15][16][17][18][19][20][21][22][23][24][25]. Finally, we observe that all terms in the expansion are sign-definite.…”

Section: Circular Orbitsmentioning

confidence: 74%

“…The second pair of operators we take to be light, ∆ L c T , and we will use them to probe the background created by the heavy operators. This is the setup considered recently in [13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Orbit States and The Light-cone Bootstrapmentioning

confidence: 99%

“…By a naive analogy we can try to associate a set of doubletwist operators [O H O L ] n,J to orbits in this case as well. And, indeed, such operators were recently observed in the light-cone bootstrap analysis of the heavy-light four point function [13][14][15][16][17][18][19][20][21][22][23][24][25]. Their presence in the spectrum, however, is puzzling from the bulk perspective.…”

Section: Introductionmentioning

confidence: 99%

“…The RHS represents, on the other hand, a continuous spectrum containing a pair of narrow resonances whose width is nonperturbative in spin J and is thus not visible in perturbation theory. This explains why [13][14][15][16][17][18][19][20][21][22][23][24][25] have observed a discrete spectrum, even though the true spectrum is continuous.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Circular Orbitsmentioning

confidence: 74%

Section: Orbit States and The Light-cone Bootstrapmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Dodelson¹,

Zhiboedov²

2022

Preprint

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“…New non-vanishing quantities that characterise finite temperatur physics are thermal one-point functions O i (x) and the quantities we focus on, off-diagonal two-point correlators O i (x)O j (y) . There has been substantial interest in thermal conformal correlators recently, see [15][16][17] in addition to the holographically focused papers above. We have not found a general discussion of off-diagonal correlators, however.…”

Section: Introductionmentioning

confidence: 99%

Tidal excitation as mixing in thermal CFT

Engelsöy,

Sundborg

2021

Preprint

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We use mixed correlators in thermal CFT as clean probes of the strong gravity effects in their holographic duals. The dual interpretation of mixing is an inelastic conversion of one field to another field, induced by gravity: tidal excitation. We find an enhanced mixing at high temperatures, corresponding to large AdS black holes, concentrated to small boundary momenta, dual to the deep bulk, where strong gravitational fields are expected. We also find large O(1/G N ) tidal conversion in the low temperature phase of the U (N ) vector model, strengthening suspicions that the bulk dual of this phase also houses extremely compact objects.

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Freedom near lightcone and ANEC saturation

Huang

Karlsson

Parnachev

et al. 2023

J. High Energ. Phys.

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Averaged Null Energy Conditions (ANECs) hold in unitary quantum field theories. In conformal field theories, ANECs in states created by the application of the stress tensor to the vacuum lead to three constraints on the stress-tensor three-point couplings, depending on the choice of polarization. The same constraints follow from considering two-point functions of the stress tensor in a thermal state and focusing on the contribution of the stress tensor in the operator product expansion (OPE). One can observe this in holographic Gauss-Bonnet gravity, where ANEC saturation coincides with the appearance of superluminal signal propagation in thermal states. We show that, when this happens, the corresponding generalizations of ANECs for higher-spin multi-stress tensor operators with minimal twist are saturated as well and all contributions from such operators to the thermal two-point functions vanish in the lightcone limit. This leads to a special near-lightcone behavior of the thermal stress-tensor correlators — they take the vacuum form, independent of temperature.

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Thermalization in large-N CFTs

Cited by 18 publications

References 91 publications

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

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

Tidal excitation as mixing in thermal CFT

Freedom near lightcone and ANEC saturation

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