Trans-IR Flows to Black Hole Singularities
arXiv:2201.06579 · doi:10.1103/PhysRevD.106.046005
Abstract
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 -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.
15 pages (including appendices) + references, 10 figures; v2: typos fixed, clarified assumptions for complementarity, matches version to appear in PRD
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- Black hole interiors in holographic topological semimetals
- Interior of helical black holes
- Kasner interiors from analytic hairy black holes
- Probing inside a charged hairy black hole in massive gravity
- Anisotropic Flows into Black Holes
- AdS Black Holes with a Bouncing Interior
- Shock waves, black hole interiors and holographic RG flows
- Diving into a holographic multi-band superconductor
- Mixmasters in Wonderland: Chaotic dynamics from Carroll limits of gravity
- Diving inside holographic metals
- Holographic -functions and Boomerang RG Flows
- Scrambling in charged hairy black holes and the Kasner interior
- Holographic Lifshitz flows
- Interior structure of the holographic s + p superconductor and chaotic-stable transition near the black hole singularity
- Encoded information of mixed correlations: the views from one dimension higher
- Holographic timelike entanglement and subregion complexity with scalar hair