Boomerang RG flows with intermediate conformal invariance

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Title: Boomerang RG flows with intermediate conformal invariance
Authors: Donos, A
Gauntlett, JP
Rosen, C
Sosa-Rodriguez, O
Item Type: Journal Article
Abstract: For a class of D = 5 holographic models we construct boomerang RG flow solutions that start in the UV at an AdS5 vacuum and end up at the same vacuum in the IR. The RG flows are driven by deformations by relevant operators that explicitly break translation invariance. For specific models, such that they admit another AdS5 solution, AdS 5 c , we show that for large enough deformations the RG flows approach an intermediate scaling regime with approximate conformal invariance governed by AdS 5 c . For these flows we calculate the holographic entanglement entropy and the entropic c-function for the RG flows. The latter is not monotonic, but it does encapsulate the degrees of freedom in each scaling region. For a different set of models, we find boomerang RG flows with intermediate scaling governed by an AdS2 × ℝ3 solution which breaks translation invariance. Furthermore, for large enough deformations these models have interesting and novel thermal insulating ground states for which the entropy vanishes as the temperature goes to zero, but not as a power-law. Remarkably, the thermal diffusivity and the butterfly velocity for these new insulating ground states are related via D = Ev B 2 /(2πT), with E(T) → 0.5 as T → 0.
Issue Date: 4-Apr-2018
Date of Acceptance: 20-Mar-2018
URI: http://hdl.handle.net/10044/1/60008
DOI: https://dx.doi.org/10.1007/JHEP04(2018)017
ISSN: 1029-8479
Publisher: SPRINGER
Journal / Book Title: JOURNAL OF HIGH ENERGY PHYSICS
Volume: 2018
Issue: 4
Copyright Statement: © 2018 The Author(s). Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Science and Technology Facilities Council (STFC)
Funder's Grant Number: EP/K034456/1
339140
ST/P000762/1
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
AdS-CFT Correspondence
Gauge-gravity correspondence
Renormalization Group
ENTANGLEMENT ENTROPY
hep-th
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: ARTN 017
Online Publication Date: 2018-04-04
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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