KdV-charged black holes

Dymarsky, Anatoly; Sugishita, Sotaro

doi:10.1007/jhep05(2020)041

Cited by 12 publications

(23 citation statements)

References 48 publications

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“…The natural holographic realization of the qBO 2 hierarchy is AdS 3 gravity with an extra U(1) gauge field, as described in [43], while the chiral case with only one SL(2)×U(1) current should be related to Warped CFTs (WCFT) [40,86,87], initially proposed as holographic duals of near-extremal black holes. We have seen that the qBO 2 spectrum is not straightforwardly adapted to chiral CFTs, due to its complex eigenvalues, requiring further studies in the particular case of WCFTs and its related black hole solutions, in line with recent discussions in the KdV case [41,45].…”

Section: Discussionsupporting

confidence: 63%

“…Therefore, this work sets a new route to investigate the generalized ETH for charged CFTs at finite c using the AGT correspondence. Other potential applications of our results are on generalized thermalization of Warped CFTs [40] and holographic realizations of integrable hierarchies [41][42][43][44][45]. The quantum BO 2 hierarchy has also been conjectured to describe non-linear dynamics of quantum liquids [32,[46][47][48][49] and we hope our results can also be relevant in this context.…”

Section: Jhep05(2021)276mentioning

confidence: 61%

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Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence

Novaes

2021

J. High Energ. Phys.

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The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a U(1) charge and quantum Benjamin-Ono2 (qBO2) hierarchy charges. We use the Alday-Gaiotto-Tachikawa (AGT) correspondence to express the thermal trace in terms of the Alba-Fateev-Litvinov-Tarnopolskiy (AFLT) basis of descendants, which diagonalizes all charges. We analyze the GGE partition function in the thermodynamic semiclassical limit, including the first order quantum correction. We find that the equality between GGE averages and primary eigenvalues of the qBO2 charges is attainable in the strict large c limit and potentially violated at the subleading 1/c order. We also obtain the finite c partition function when only the first non-trivial charge is turned on, expressed in terms of partial theta functions. Our results should be relevant to the eigenstate thermalization hypothesis for charged CFTs, Warped CFTs and effective field theory descriptions of condensed matter systems.

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Section: Discussionsupporting

confidence: 63%

Section: Jhep05(2021)276mentioning

confidence: 61%

Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence

Novaes

2021

J. High Energ. Phys.

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“…In the case of a two-dimensional conformal field theory, a GGE is constructed with the infinite set of charges in involution of the KdV hierarchy, which are obtained as composite operators in terms of the stress tensor [49][50][51] (see refs. [6,10,11,[52][53][54][55][56][57][58][59][60][61][62] for recent results on GGE).…”

Section: Generalized Gibbs Ensemblementioning

confidence: 97%

“…Therefore, the asymptotic symmetries are spanned by the infinite set of commuting KdV charges, which are composite in terms of the Virasoro generators. This framework allows for example to study Generalized Gibbs Ensembles of two-dimensional conformal field theories in terms of a gravitational dual [6,10], as well as constructing black hole solutions carrying non-trivial KdV charges [11].…”

Section: Introductionmentioning

confidence: 99%

Integrable systems and the boundary dynamics of higher spin gravity on AdS3

Ojeda

Pérez

2020

J. High Energ. Phys.

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We introduce a new set of boundary conditions for three-dimensional higher spin gravity with gauge group SL(3, ℝ) × SL(3, ℝ), where its dynamics at the boundary is described by the members of the modified Boussinesq integrable hierarchy. In the asymptotic region the gauge fields are written in the diagonal gauge, where the excitations go along the generators of the Cartan subalgebra of sl(3, ℝ) ⊕ sl(3, ℝ). We show that the entire integrable structure of the modified Boussinesq hierarchy, i.e., the phase space, the Poisson brackets and the infinite number of commuting conserved charges, are obtained from the asymptotic structure of the higher spin theory. Furthermore, its known relation with the Boussinesq hierarchy is inherited from our analysis once the asymptotic conditions are re-expressed in the highest weight gauge. Hence, the Miura map is recovered from a purely geometric construction in the bulk. Black holes that fit within our boundary conditions, the Hamiltonian reduction at the boundary, and the generalization to higher spin gravity with gauge group SL(N, ℝ) × SL(N, ℝ) are also discussed.

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“…). As a hallmark of integrability, the higher-k level members of the KdV hierarchy possess the bi-Hamiltonian structure relating them as follows [79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95]:…”

mentioning

confidence: 99%

Phase space holography with no strings attached

Khveshchenko¹

2022

physics

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Keywords: phase space, holographic correspondence, hydrodynamics, effective metric We discuss the Wigner function representation from the novel standpoint of establishing a natural holographylike correspondence between the descriptions of a generic quantum system in the phase space (‘bulk’) picture versus its spacetime (‘boundary’) counterpart. In certain cases, the former may reduce to the gravity-like dynamics of a local metric-type variable while the latter takes on the form of some bosonized collective field hydrodynamics. This generic pseudo-holographic duality neither relies on any particular symmetry of the system in question, nor does it require any relation to some underlying ‘string theory’, thus providing a systematic way of constructing practical – as opposed to the previous ‘ad hoc’ – examples of genuine holographic duality.

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KdV-charged black holes

Cited by 12 publications

References 48 publications

Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence

Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence

Integrable systems and the boundary dynamics of higher spin gravity on AdS3

Phase space holography with no strings attached

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