A universal fermionic analogue of the shear viscosity

Erdmenger, Johanna; Steinfurt, Stephan

doi:10.48550/arxiv.1302.1869

Cited by 8 publications

(30 citation statements)

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“…We will call such solutions "transverse" polarizations. As noted previously by others [16,17], and as we review below, these modes decouple and satisfy a simple Dirac equation. We will see below that they exist only for D > 4.…”

Section: A Basic Equationssupporting

confidence: 58%

“…There are three different branches of quasi-normal mode results for the spin-3/2 case, relative to the spin-1/2 case. As we will discuss later, there are d −3 transverse polarizations of Ψ M which each reduce to the Dirac case with mass m [16,17]. These then have asymptotic quasinormal mode frequencies given by (1.10).…”

Section: Spin-3 2 Resultsmentioning

confidence: 98%

“…For the opposite limit of very small ω (and k), an analysis of the supersymmetric hydrodynamic mode associated with the gravitino may be found in refs. [16,17] (see also ref. [18]).…”

Section: Other Cases Of Spin-3 2 Resultsmentioning

confidence: 99%

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Gravitino and other spin-32quasinormal modes in Schwarzschild-AdS spacetime

2014

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We investigate quasinormal mode frequencies ω n of gravitinos and generic massive spin-3 2 fields in a Schwarzschild-AdS D background in spacetime dimension D > 3, in the black brane (large black hole) limit appropriate to many applications of the AdS/CFT correspondence. First, we find asymptotic formulas for ω n in the limit of large overtone number n. Asymptotically, ω n ≃ nΔω þ Oðln nÞ þ Oðn 0 Þ, where Δω is a known constant, and here we compute the Oðln nÞ and Oðn 0 Þ corrections to the leading OðnÞ behavior. Then we compare to numerical calculations of exact quasinormal mode frequencies. Along the way, we also improve the reach and accuracy of an earlier, similar analysis of spin-1 2 fields.

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Section: A Basic Equationssupporting

confidence: 58%

Section: Spin-3 2 Resultsmentioning

confidence: 98%

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Gravitino and other spin-32quasinormal modes in Schwarzschild-AdS spacetime

2014

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“…Finally, the Rarita-Schwinger fields in backgrounds with simple horizons have been used in calculations of fermionic currents [42][43][44][45]. It would be interesting to study the pole-skipping points in that context and see the consequences on the spectral function of the dual fermionic currents in the boundary theory.…”

Section: Discussionmentioning

confidence: 99%

“…The aim of this note is the analysis of the near-horizon behaviour of a minimally coupled spin- 3 2 field. In an AdS/CFT context, such fields were first considered in [37][38][39][40][41] and have later been used to study the properties of the charged current in the dual boundary theory (see for example [42][43][44][45]). For a summary and discussion of recent results see [46].…”

Section: Gravitational Setupmentioning

confidence: 99%

Pole-skipping and Rarita-Schwinger fields

Ceplak,

Vegh

2021

Preprint

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In this note we analyse the equations of motion of a minimally coupled Rarita-Schwinger field near the horizon of an anti-de Sitter-Schwarzschild geometry. We find that at special complex values of the frequency and momentum there exist two independent regular solutions that are ingoing at the horizon. These special points in Fourier space are associated with the 'pole-skipping' phenomenon in thermal two-point functions of operators that are holographically dual to the bulk fields. We find that the leading pole-skipping point is located at a positive imaginary frequency with the distance from the origin being equal to half of the Lyapunov exponent for maximally chaotic theories.

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The super-Higgs mechanism in fluids

Benakli

Policastro

2014

J. High Energ. Phys.

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Supersymmetry is spontaneously broken when the field theory stress-energy tensor has a nonzero vacuum expectation value. In local supersymmetric field theories the massless gravitino and goldstino combine via the super-Higgs mechanism to a massive gravitino. We study this mechanism in four-dimensional fluids, where the vacuum expectation value of the stress-energy tensor breaks spontaneously both supersymmetry and Lorentz symmetry. We consider both constant as well as space-time dependent ideal fluids. We derive a formula for the gravitino mass in terms of the fluid velocity, energy density and pressure. We discuss some of the phenomenological implications. Contents

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A universal fermionic analogue of the shear viscosity

Cited by 8 publications

References 0 publications

Gravitino and other spin-32quasinormal modes in Schwarzschild-AdS spacetime

Gravitino and other spin-32quasinormal modes in Schwarzschild-AdS spacetime

Pole-skipping and Rarita-Schwinger fields

The super-Higgs mechanism in fluids

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