Diffusion and chaos from near AdS2 horizons

Mike Blake; Aristomenis Donos

doi:10.1007/JHEP02(2017)013

Diffusion and chaos from near AdS2 horizons

Mike Blake, Aristomenis Donos^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We calculate the thermal diffusivity D = κ/c ρ and butterfly velocity v B in holographic models that flow to AdS2 × R d fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS2 and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension Δ = 2 then this relationship is always given by D = v B 2 /(2πT).

Original language	English
Article number	17
Number of pages	20
Journal	Journal of High Energy Physics
Volume	(2017)
DOIs	https://doi.org/10.1007/JHEP02(2017)013
Publication status	Published - 3 Feb 2017

Keywords

Holography and condensed matter physics (AdS/CMT)
AdS-CFT Correspondence

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10.1007/JHEP02(2017)013

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abstract = "We calculate the thermal diffusivity D = κ/c ρ and butterfly velocity v B in holographic models that flow to AdS2 × R d fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS2 and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension Δ = 2 then this relationship is always given by D = v B 2 /(2πT).",

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AU - Donos, Aristomenis

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N2 - We calculate the thermal diffusivity D = κ/c ρ and butterfly velocity v B in holographic models that flow to AdS2 × R d fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS2 and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension Δ = 2 then this relationship is always given by D = v B 2 /(2πT).

AB - We calculate the thermal diffusivity D = κ/c ρ and butterfly velocity v B in holographic models that flow to AdS2 × R d fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS2 and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension Δ = 2 then this relationship is always given by D = v B 2 /(2πT).

KW - Holography and condensed matter physics (AdS/CMT)

KW - AdS-CFT Correspondence

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U2 - 10.1007/JHEP02(2017)013

DO - 10.1007/JHEP02(2017)013

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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ER -

Diffusion and chaos from near AdS2 horizons

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