A holographic model for hall viscosity

Chen, Jiunn-Wei; Lee, Nien-En; Maity, Debaprasad; Wen, Wen-Yu

doi:10.1016/j.physletb.2012.05.026

Cited by 26 publications

(57 citation statements)

References 27 publications

(27 reference statements)

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“…The bulk pseudo scalar potential is composed of θ 2 and θ 4 terms which guarantee consistent solution at zero temperature. Contrary to the previous studies of Hall viscosity in AdS Einstein-Maxwell case [44], the spontaneously broken parity by the pseudo scalar hair, as well as, the dark matter gauge field deformation chemical potential, give rise to the emergence of a non-zero value of the Hall viscosity at the boundary.…”

Section: Discussioncontrasting

confidence: 73%

“…As we have already mentioned, the above functions do depend on α, but this will be discussed later on. In agreement with previous studies [36,[43][44][45] we perform the entire analysis in the comoving frame, where the fluid velocity equals zero at the boundary. The resulting inhomogenous background line element and the gauge fields yield 17) JHEP08 (2016)124 where the small parameter ǫ serves as bookkeeping device, which power denotes the number of the derivatives taken into account along the boundary.…”

Section: Jhep08(2016)124supporting

confidence: 77%

“…This is a quite new situation comparing to the description of Hall viscosity in the AdS Einsten-Maxwell case [44]. 4 The viscosities in the presence of dark matter sector…”

Section: Jhep08(2016)124mentioning

confidence: 97%

“…As was mentioned we treat θ as a pseudo scalar [44], so the gravitational Chern-Simons term does not break the parity. But the pseudo scalar term violates parity spontaneously, as well as, enables to receive a pseudo scalar condensate at the boundary.…”

Section: Jhep08(2016)124mentioning

confidence: 99%

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Viscosity of holographic fluid in the presence of dark matter sector

Rogatko

Wysokiński

2016

J. High Energ. Phys.

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Based on the gauge/gravity correspondence, the hydrodynamic response coefficients, shear and Hall viscosities, have been studied. The holographic model of EinsteinMaxwell-AdS (3 + 1)-dimensional system additionally coupled with the another gauge field mimicking the dark matter sector, as well as, gravitational Chern-Simons term bounded with a dynamical scalar field, were taken into account. Condensation of the scalar field in the presence of the deformation chemical potential for the dark matter gauge field provide the parity violating terms. Both shear and Hall viscosities have been calculated and their dependence on α -the coupling constant between matter and dark matter sectors has been studied. To the lowest order in the derivative expansion and perturbation in α, the shear viscosity is not influenced by the dark matter, while the Hall component linearly depends on α.

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Section: Discussioncontrasting

confidence: 73%

Section: Jhep08(2016)124supporting

confidence: 77%

“…This is a quite new situation comparing to the description of Hall viscosity in the AdS Einsten-Maxwell case [44]. 4 The viscosities in the presence of dark matter sector…”

Section: Jhep08(2016)124mentioning

confidence: 97%

Section: Jhep08(2016)124mentioning

confidence: 99%

See 2 more Smart Citations

Viscosity of holographic fluid in the presence of dark matter sector

Rogatko

Wysokiński

2016

J. High Energ. Phys.

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“…The Hall viscosity for holographic systems was discussed in [21] and specific examples were presented in [22,23]. The result of [21] can be readily extended to the general class of models of [15,16] (see Sec.…”

Section: Introductionmentioning

confidence: 99%

Hall viscosity and angular momentum in gapless holographic models

2014

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We use the holographic approach to compare the Hall viscosity ηH and the angular momentum density J in gapless systems in 2 + 1 dimensions at finite temperature. We start with a conformal fixed point and turn on a perturbation which breaks the parity and time reversal symmetries via gauge and gravitational Chern-Simons couplings in the bulk. While the ratio of ηH and J shows some universal properties when the perturbation is slightly relevant, we find that the two quantities behave differently in general. In particular, ηH depends only on infrared physics, while J receives contributions from degrees of freedom at all scales.

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Hořava-Lifshitz gravity and effective theory of the fractional quantum Hall effect

2015

J. High Energ. Phys.

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We show that Hořava-Lifshitz gravity theory can be employed as a covariant framework to build an effective field theory for the fractional quantum Hall effect that respects all the spacetime symmetries such as non-relativistic diffeomorphism invariance and anisotropic Weyl invariance as well as the gauge symmetry. The key to this formalism is a set of correspondence relations that maps all the field degrees of freedom in the Hořava-Lifshitz gravity theory to external background (source) fields among others in the effective action of the quantum Hall effect, according to their symmetry transformation properties. We originally derive the map as a holographic dictionary, but its form is independent of the existence of holographic duality. This paves the way for the application of Hořava-Lifshitz holography on fractional quantum Hall effect. Using the simplest holographic Chern-Simons model, we compute the low energy effective action at leading orders and show that it captures universal electromagnetic and geometric properties of quantum Hall states, including the Wen-Zee shift, Hall viscosity, angular momentum density and their relations. We identify the shift function in Hořava-Lifshitz gravity theory as minus of guiding center velocity and conjugate to guiding center momentum. This enables us to distinguish guiding center angular momentum density from the internal one, which is the sum of Landau orbit spin and intrinsic (topological) spin of the composite particles. Our effective action shows that Hall viscosity is minus half of the internal angular momentum density and proportional to Wen-Zee shift, and Hall bulk viscosity is half of the guiding center angular momentum density.

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A holographic model for hall viscosity

Cited by 26 publications

References 27 publications

Viscosity of holographic fluid in the presence of dark matter sector

Viscosity of holographic fluid in the presence of dark matter sector

Hall viscosity and angular momentum in gapless holographic models

Hořava-Lifshitz gravity and effective theory of the fractional quantum Hall effect

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