Boundary conditions and unitarity: the Maxwell-Chern-Simons system in AdS3/CFT2

Andrade, Tomás; Jottar, Juan I.; Leigh, Robert G.

doi:10.1007/jhep05(2012)071

Cited by 35 publications

(55 citation statements)

References 55 publications

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“…This matches nicely with the holographic result: we do not have a precisely marginal parameter g in our computation, but we should instead interpret the logarithm appearing in (45) as measuring the running electromagnetic coupling at the scale of interest. Notice that in the regime of validity of the holographic regime γ 1 implying we are exploring the strong coupling region in terms of the gauge coupling, as expected.…”

Section: Finite Temperaturesupporting

confidence: 82%

Generalized global symmetries and holography

2018

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We study the holographic duals of four-dimensional field theories with 1-form global symmetries, both discrete and continuous. Such higher-form global symmetries are associated with antisymmetric tensor gauge fields in the bulk. Various different realizations are possible: we demonstrate that a Maxwell action for the bulk antisymmetric gauge field results in a non-conformal field theory with a marginally running double-trace coupling. We explore its hydrodynamic behavior at finite temperature and make contact with recent symmetry-based formulations of magnetohydrodynamics. We also argue that discrete global symmetries on the boundary are dual to discrete gauge theories in the bulk. Such gauge theories have a bulk Chern-Simons description: we clarify the conventional 0-form case and work out the 1-form case. Depending on boundary conditions, such discrete symmetries may be embedded in continuous higher-form symmetries that are spontaneously broken. We study the resulting boundary Goldstone mode, which in the 1-form case may be thought of as a boundary photon. Our results clarify how the global form of the field theory gauge group is encoded in holography. Finally, we study the interplay of Maxwell and Chern-Simons terms put together. We work out the operator content and demonstrate the existence of new backreacted anisotropic scaling solutions that carry higher-form charge.

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Section: Finite Temperaturesupporting

confidence: 82%

Generalized global symmetries and holography

2018

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“…(4.36b) which agree with the scaling dimensions reported in [22,38]. We shall be interested in boundary conditions that preserve conformal invariance near the conformal boundary.…”

Section: Proca Fieldssupporting

confidence: 79%

“…Boundary conditions for Chern-Simons fields were studied in [38]. It was argued that if 0 < |λ| < 1 then both fall-offs H ± preserve the local AdS asymptotics and that the requirement that boundary conditions preserve the asymptotic conformal symmetry, implies either H + = 0 or H − = 0.…”

Section: )mentioning

confidence: 99%

The BTZ black hole violates strong cosmic censorship

Dias

Reall

Santos

2019

J. High Energ. Phys.

139

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We investigate the stability of the inner horizon of a rotating BTZ black hole. We show that linear perturbations arising from smooth initial data are arbitrarily differentiable at the inner horizon if the black hole is sufficiently close to extremality. This is demonstrated for scalar fields, for massive Chern-Simons fields, for Proca fields, and for massive spin-2 fields. Thus the strong cosmic censorship conjecture is violated by a near-extremal BTZ black hole in a large class of theories. However, we show that a weaker "rough" version of the conjecture is respected. We calculate the renormalized energymomentum tensor of a scalar field in the Hartle-Hawking state in the BTZ geometry. We show that the result is finite at the inner horizon of a near-extremal black hole. Hence the backreaction of vacuum polarization does not enforce strong cosmic censorship.

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“…For example, the charged AdS black hole is mainly related to AdS/CMT applications. In the (2+1)-dimensional charged AdS black hole, its dual theory is associated with the holographic superconductor [44][45][46]. In addition, the Fermi-Luttinger liquid is a model resembling the dual theory [47,48].…”

Section: Jhep11(2017)129mentioning

confidence: 99%

Thermodynamics with pressure and volume under charged particle absorption

Gwak

2017

J. High Energ. Phys.

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Abstract:We investigate the variation of the charged anti-de Sitter black hole under charged particle absorption by considering thermodynamic volume. When the energy of the particle is considered to contribute to the internal energy of the black hole, the variation exactly corresponds to the prediction of the first law of thermodynamics. Nevertheless, we find the decrease of the Bekenstein-Hawking entropy for extremal and near-extremal black holes under the absorption, which is an irreversible process. This violation of the second law of thermodynamics is only found when considering thermodynamic volume. We test the weak cosmic censorship conjecture affected by the violation. Fortunately, the conjecture is still valid, but extremal and near-extremal black holes do not change their configurations when any particle enters the black hole. This result is quite different from the case in which thermodynamic volume is not considered.

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Boundary conditions and unitarity: the Maxwell-Chern-Simons system in AdS3/CFT2

Cited by 35 publications

References 55 publications

Generalized global symmetries and holography

Generalized global symmetries and holography

The BTZ black hole violates strong cosmic censorship

Thermodynamics with pressure and volume under charged particle absorption

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