Diffusion and chaos from near AdS2 horizons
Author(s)
Donos, Aristomenis; Blake, Michael Andrew
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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).
Date issued
2017-02Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Laboratory for Nuclear ScienceJournal
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
ISSN
1029-8479