Boomerang RG flows with intermediate conformal invariance

  • Aristomenis Donos
  • Jerome P. Gauntlett
  • Christopher Rosen
  • Omar Sosa-Rodriguez
Open Access
Regular Article - Theoretical Physics


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.


AdS-CFT Correspondence Gauge-gravity correspondence Renormalization Group 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Aristomenis Donos
    • 1
  • Jerome P. Gauntlett
    • 2
  • Christopher Rosen
    • 2
  • Omar Sosa-Rodriguez
    • 1
  1. 1.Centre for Particle Theory and Department of Mathematical SciencesDurham UniversityDurhamU.K.
  2. 2.Blackett LaboratoryImperial CollegeLondonU.K.

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