Diffusion and chaos from near AdS2 horizons

Blake, Mike; Donos, Aristomenis

Abstract

We calculate the thermal diffusivity D = κ/cρ and butterfly velocity vB in holographic models that flow to AdS2 × Rd 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 = vB2/(2πT).

Citation

Blake, M., & Donos, A. (2017). Diffusion and chaos from near AdS2 horizons. Journal of High Energy Physics, 2017(2), Article 13. https://doi.org/10.1007/jhep02%282017%29013

• Journal Article Type: Article
• Acceptance Date: Jan 29, 2017
• Online Publication Date: Feb 3, 2017
• Publication Date: Feb 3, 2017
• Deposit Date: Jul 5, 2017
• Publicly Available Date: Jul 5, 2017
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2017
• Issue: 2
• Article Number: 13
• DOI: https://doi.org/10.1007/jhep02%282017%29013
• Public URL: https://durham-repository.worktribe.com/output/1354246