Conserved charges and black holes in the Einstein-Maxwell theory on AdS$_{3}$ reconsidered

Pérez, Alfredo; Riquelme, M.; Tempo, David; Troncoso, Ricardo

doi:10.48550/arxiv.1509.01750

Cited by 5 publications

(26 citation statements)

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“…Note that the asymptotic behaviour of the metric in (2.1) might have included additional terms of the form O (log (r/l)) and O log (r/l) r −4 , in g +− and g rr respectively, which we do not consider because they can be consistently gauged away. Indeed, for this reason, the asymptotically AdS 3 fall-off for the branch of stationary and spherically symmetric spacetimes studied in [12] fits within the asymptotic structure described by (2.1) and (2.2). Consequently, the asymptotic behaviour proposed here not only accommodates a wide set of exact solutions possessing these symmetries [8], [29], [13], [30], [31], [33], [10], [34], [16], [35], [36], [37], but also a larger class of configurations being neither stationary nor spherically symmetric.…”

Section: Fall-off Of the Fields And Asymptotic Symmetriessupporting

confidence: 55%

“…The canonical realization of the asymptotic symmetry algebra is then given by the direct sum of U (1) and two copies of the Virasoro algebra with the standard central extension. Section 5 is devoted to compute the global charges of electrically charged rotating black holes, which are found to be agree with the expressions that were recently obtained in [12] from the analysis of stationary spherically symmetric configurations. We conclude with some additional remarks in section 6.…”

Section: Introductionsupporting

confidence: 55%

“…Indeed, finding a suitable definition of global conserved charges in this context turns out to be a very subtle task [11], [10]. Nonetheless, in the case of stationary spherically symmetric solutions, it has been recently shown that the canonical generators associated to the mass and the angular momentum can be naturally defined without the need of any kind of regularization [12]. Furthermore, unlike the higher-dimensional case, the associated surface integrals were found to acquire nontrivial contributions from the electromagnetic field, and consequently, they become manifestly sensitive to the choice of boundary conditions 1 .…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic structure of the Einstein-Maxwell theory on AdS3

Pérez

Riquelme

Tempo

et al. 2016

J. High Energ. Phys.

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The asymptotic structure of AdS spacetimes in the context of General Relativity coupled to the Maxwell field in three spacetime dimensions is analyzed. Although the fall-off of the fields is relaxed with respect to that of Brown and Henneaux, the variation of the canonical generators associated to the asymptotic Killing vectors can be shown to be finite once required to span the Lie derivative of the fields. The corresponding surface integrals then acquire explicit contributions from the electromagnetic field, and become well-defined provided they fulfill suitable integrability conditions, implying that the leading terms of the asymptotic form of the electromagnetic field are functionally related. Consequently, for a generic choice of boundary conditions, the asymptotic symmetries are broken down to R ⊗ U (1) ⊗ U (1). Nonetheless, requiring compatibility of the boundary conditions with one of the asymptotic Virasoro symmetries, singles out the set to be characterized by an arbitrary function of a single variable, whose precise form depends on the choice of the chiral copy. Remarkably, requiring the asymptotic symmetries to contain the full conformal group selects a very special set of boundary conditions that is labeled by a unique constant parameter, so that the algebra of the canonical generators is given by the direct sum of two copies of the Virasoro algebra with the standard central extension and U (1). This special set of boundary conditions makes the energy spectrum of electrically charged rotating black holes to be well-behaved.

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Section: Fall-off Of the Fields And Asymptotic Symmetriessupporting

confidence: 55%

Section: Introductionsupporting

confidence: 55%

Section: Introductionmentioning

confidence: 99%

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Asymptotic structure of the Einstein-Maxwell theory on AdS3

Pérez

Riquelme

Tempo

et al. 2016

J. High Energ. Phys.

Self Cite

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“…A different proposal based on alternative boundary conditions was recently given in [56]. For simplicity we do not consider this case in our analyses, until these issues are settled.…”

Section: B Ads-rn 2+1mentioning

confidence: 99%

Aspects of holographic entanglement at finite temperature and chemical potential

Kundu

Pedraza

2016

J. High Energ. Phys.

107

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Abstract:We investigate the behavior of entanglement entropy at finite temperature and chemical potential for strongly coupled large-N gauge theories in d-dimensions (d ≥ 3) that are dual to Anti-de Sitter-Reissner-Nordstrom geometries in (d + 1)−dimensions, in the context of gauge-gravity duality. We develop systematic expansions based on the RyuTakayanagi prescription that enable us to derive analytic expressions for entanglement entropy and mutual information in different regimes of interest. Consequently, we identify the specific regions of the bulk geometry that contribute most significantly to the entanglement entropy of the boundary theory at different limits. We define a scale, dubbed as the effective temperature, which determines the behavior of entanglement in different regimes. At high effective temperature, entanglement entropy is dominated by the thermodynamic entropy, however, mutual information subtracts out this contribution and measures the actual quantum entanglement. Finally, we study the entanglement/disentanglement transition of mutual information in the presence of chemical potential which shows that the quantum entanglement between two sub-regions decreases with the increase of chemical potential.

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“…Charged solutions in d = 2 (as the one above) have peculiar properties: the fall-off of the fields is slower than the standard case and identification of the source and the VEV are subtle [54] (see [55] for a different proposal, based on alternative boundary conditions).…”

Section: Static Solutions: Ads-rnmentioning

confidence: 99%

Spread of entanglement for small subsystems in holographic CFTs

Kundu¹,

Pedraza²

2017

Phys. Rev. D

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Abstract:We develop an analytic perturbative expansion to study the propagation of entanglement entropy for small subsystems after a global quench, in the context of the AdS/CFT correspondence. Opposite to the large interval limit, in this case the evolution of the system takes place at timescales that are shorter in comparison to the local equilibration scale and thus, different physical mechanisms govern the dynamics and subsequent thermalization. In particular, we show that the heuristic picture in terms of a "entanglement tsunami" does not apply in this regime. We find two crucial differences. First, that the instantaneous rate of growth of the entanglement is not constrained by causality, but rather its time average. And second, that the approach to saturation is always continuous, regardless the shape of the entangling surface. Our analytic expansion also enables us to verify some previous numerical results, namely, that the saturation time is non-monotonic with respect to the chemical potential. All of our results are pertinent to CFTs with a classical gravity dual formulation.arXiv:1602.05934v2 [hep-th]

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Conserved charges and black holes in the Einstein-Maxwell theory on AdS$_{3}$ reconsidered

Cited by 5 publications

References 0 publications

Asymptotic structure of the Einstein-Maxwell theory on AdS3

Asymptotic structure of the Einstein-Maxwell theory on AdS3

Aspects of holographic entanglement at finite temperature and chemical potential

Spread of entanglement for small subsystems in holographic CFTs

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