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 2 B /(2πT).
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Blake, M., Donos, A. Diffusion and chaos from near AdS2 horizons. J. High Energ. Phys. 2017, 13 (2017). https://doi.org/10.1007/JHEP02(2017)013
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DOI: https://doi.org/10.1007/JHEP02(2017)013