Membrane paradigm and RG flows for anomalous holographic theories

Copetti, Christian; Fernández-Pendás, Jorge

doi:10.1007/jhep04(2018)134

Cited by 5 publications

(3 citation statements)

References 40 publications

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“…We note that there are additional terms in energy-momentum tensor proportional to the gravitational anomaly that were calculated in [54,55]. These terms contribute to the chiral magnetic conductivity in holographic model with momentum relaxation.…”

Section: Jhep08(2021)007mentioning

confidence: 75%

Chiral transport in curved spacetime via holography

Avdoshkin

Sharipov

2021

J. High Energ. Phys.

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We consider a holographic model of strongly interacting plasma with a gravitational anomaly. In this model, we compute parity-odd responses of the system at finite temperature and chemical potential to external electromagnetic and gravitational fields. Working within the linearized fluid/gravity duality, we performed the calculation up to the third order in gradient expansion. Besides reproducing the chiral magnetic (CME) and vortical (CVE) effects we also obtain gradient corrections to the CME and CVE due to the gravitational anomaly. Additionally, we find energy-momentum and current responses to the gravitational field similarly determined by the gravitational anomaly. The energy-momentum response is the first purely gravitational transport effect that has been related to quantum anomalies in a holographic theory.

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Section: Jhep08(2021)007mentioning

confidence: 75%

Chiral transport in curved spacetime via holography

Avdoshkin

Sharipov

2021

J. High Energ. Phys.

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“…Therefore, Dirichlet boundary conditions can be fixed either to the metric or to the gauge field, but not simultaneously to both. This fact resemble the case in AdS 5 with the mixed gauge-gravitational Chern-Simons term [57][58][59], where a Gibbons-Hawking like term can be added but nonetheless, the regularity of the variational problem is not resolved. From a practical point of view, and in the context that concerns us, adding or not δS GH does not affect the observables because the near boundary behaviour of the fields in an asymptotically locally AdS space is such that this boundary term always vanishes, as we discuss below.…”

Section: Discussionmentioning

confidence: 97%

Hall viscosity in a strongly coupled magnetized plasma

Hoyos

Peña-Benítez

Witkowski

2019

J. High Energ. Phys.

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We show how a Hall viscosity induced by a magnetic field can be generated in strongly coupled theories with a holographic dual. This is achieved by considering paritybreaking higher derivative terms in the gravity dual. These terms couple the Riemann curvature tensor to the field strength of a gauge field dual to the charge current, and have an analog in the field theory side as a coupling between the "Euler current" and the electromagnetic field. As a concrete example, we study the effect of the new terms in the thermodynamic and transport properties of a strongly coupled magnetized plasma dual to a dyonic black hole in AdS 4 . As a new property of the holographic model, we find that for a state that is initially neutral at zero magnetic field, a charge density and non-dissipative Hall transport are present when the magnetic field is turned on. Remarkably, we also observe that the results from the holographic model are consistent with hydrodynamics even at magnetic fields much larger than temperature.

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“…the extrinsic curvature acts like an external source conjugate to the operator u µν . We will define the holographic energy-momentum tensor as [19,22] T µ…”

Section: Holographic Energy-momentum Tensormentioning

confidence: 99%

Anomalous transport, massive gravity theories and holographic momentum relaxation

Megías¹

2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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Quantum anomalies give rise to new non-dissipative transport phenomena in relativistic fluids induced by external electromagnetic fields and vortices. These phenomena can be studied in holographic models with Chern-Simons couplings dual to anomalies in field theory. We perform a computation in AdS/CFT of the anomalous transport coefficients in a holographic massive gravity model, and find that the anomalous conductivities turn out to be independent of the holographic disorder couplings of the model. To arrive at this result we suggest a new definition of the energy-momentum tensor in presence of the gauge-gravitational Chern-Simons coupling. We also compute the electric DC conductivity and find that it can vanish for certain values of the disorder couplings.

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Membrane paradigm and RG flows for anomalous holographic theories

Cited by 5 publications

References 40 publications

Chiral transport in curved spacetime via holography

Chiral transport in curved spacetime via holography

Hall viscosity in a strongly coupled magnetized plasma

Anomalous transport, massive gravity theories and holographic momentum relaxation

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