Trans-IR flows to black hole singularities

Jan 17, 2022
15 pages
Published in:
  • Phys.Rev.D 106 (2022) 4, 046005
  • Published: Aug 15, 2022
e-Print:
DOI:
Report number:
  • UTTG-30-2022

Citations per year

202120222023202419714
Abstract: (APS)
We study analytic continuations of holographic renormalization group (RG) flows beyond their infrared (IR) fixed points. Such “trans-IR” flows are a natural framework for describing physics inside of black holes. First, we construct a monotonic holographic a-function which counts degrees of freedom along a trans-IR flow. Using this function, we argue that the degrees of freedom “thin out” and vanish when flowing to a trans-IR endpoint, represented by a Kasner singularity. We then recast well-studied quantum information probes in the language of trans-IR flows, finding that entanglement and complexity from volume generally fail to fully probe the trans-IR while 2-point correlations and complexity from action generally do so in a complementary manner.
Note:
  • 15 pages (including appendices) + references, 10 figures; v2: typos fixed, clarified assumptions for complementarity, matches version to appear in PRD
  • singularity: Kasner
  • black hole: singularity