Fermionic corrections to fluid dynamics from BTZ black hole

Gentile, L.G.C.; Grassi, Pietro Antonio; Mezzalira, A.

doi:10.1007/jhep11(2015)153

Cited by 5 publications

(2 citation statements)

References 37 publications

(119 reference statements)

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“…It also seems possible to relate the present work to a supersymmetric extension of the fluid / gravity correspondence [92]. Initial progress in this direction for the BTZ black hole has been obtained in [93].…”

Section: Resultsmentioning

confidence: 77%

A universal fermionic analogue of the shear viscosity

Erdmenger

Steinfurt

2013

J. High Energ. Phys.

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We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2-and M5brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of η/s. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding Dp-brane diffusion constants.

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Section: Resultsmentioning

confidence: 77%

A universal fermionic analogue of the shear viscosity

Erdmenger

Steinfurt

2013

J. High Energ. Phys.

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“…For instance, the BTZ bulk metric (40) yields the following propagator of massless 3d bulk fermions with the dimension ∆ Ψ = 1 and spin 1/2 [84,[171][172][173][174][175][176][177][178][179][180][181][182],…”

Section: Reductions and Generalizationsmentioning

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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Fermionic wigs for BTZ black holes

2013

Self Cite

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We compute the wig for the BTZ black hole, namely the complete non-linear solution of supergravity equations with all fermionic zero modes. We use a "gauge completion" method starting from AdS 3 Killing spinors to generate the gravitinos fields associated to the BH and we compute the back-reaction on the metric. Due to the anticommutative properties of the fermionic hairs the resummation of these effects truncates at some order. We illustrate the technique proposed in a precedent paper in a very explicit and analytical form. We also compute the mass, the angular momentum and other charges with their corrections.

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Fermionic corrections to fluid dynamics from BTZ black hole

Cited by 5 publications

References 37 publications

A universal fermionic analogue of the shear viscosity

A universal fermionic analogue of the shear viscosity

Phase space holography with no strings attached

Fermionic wigs for BTZ black holes

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