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arXiv · 1611.09380

Diffusion and Chaos from near AdS$_2$ horizons

Mike Blake·Aristomenis Donos
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Abstract

We calculate the thermal diffusivity $D = \kappa/c_{\rho}$ and butterfly velocity $v_B$ in holographic models that flow to AdS$_2 \times R^{d}$ fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS$_2$ and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension $\Delta = 2$ then this relationship is always given by $D = v_B^2/(2 \pi T)$.

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Mike Blake, Aristomenis Donos. 2016-11-28. Diffusion and Chaos from near AdS$_2$ horizons. https://doi.org/10.1007/jhep02(2017)013

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