Diffusion and chaos from near AdS2 horizons
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Author(s) •
Donos, Aristomenis
Blake, Michael Andrew
Date Issued
February 2017
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Blake, Mike, and Aristomenis Donos. “Diffusion and Chaos from near AdS2 Horizons.” Journal of High Energy Physics 2017.2 (2017): n. pag.
Version
Final published version
Abstract
We calculate the thermal diffusivity D = κ/c[subscript ρ] and butterfly velocity v[subscript B] in holographic models that flow to AdS[subscript 2] × R[superscript d] fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS[subscript 2] 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[subscript B][superscript 2]/(2πT).
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP02(2017)013