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Trans-IR Flows to Black Hole Singularities

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arxiv 2201.06579 v2 pith:G3XO2TRX submitted 2022-01-17 hep-th gr-qc

classification hep-thgr-qc
keywords trans-irflowsblackcomplexitydegreesfreedomfunctiongenerally
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $a$-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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Hermitian Holographic Flows to Little Rip Cosmologies

    hep-th 2026-07 conditional novelty 8.0 of 10

    A holographic model of a non-Hermitian PT-symmetric QFT produces black hole interiors that are isotropic Little Rip cosmologies, separated from standard Kasner behavior by a distinctive logarithmic signature in heavy-...

  2. Critical and multicritical Kasner scaling in holographic phase transitions

    hep-th 2026-08 conditional novelty 7.0 of 10

    The deviation of the first internal Kasner exponent from the Schwarzschild value scales as the square of the condensate, giving temperature exponents 1/r at r-th order multicritical points.

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