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.
arXiv comment15 pages (including appendices) + references, 10 figures; v2: typos fixed, clarified assumptions for complementarity, matches version to appear in PRD
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- Holographic timelike entanglement and subregion complexity with scalar hair