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Black Hole Monodromy and Conformal Field Theory

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arxiv 1303.0759 v2 pith:3HJTFRAN submitted 2013-03-04 hep-th gr-qc

classification hep-thgr-qc
keywords blackholeconformaldatahiddenmonodromysymmetryanalytic
verification ladder T0 review T1 audit T2 compute T3 formal
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The analytic structure of solutions to the Klein-Gordon equation in a black hole background, as represented by monodromy data, is intimately related to black hole thermodynamics. It encodes the "hidden conformal symmetry" of a non-extremal black hole, and it explains why features of the inner event horizon appear in scattering data such as greybody factors. This indicates that hidden conformal symmetry is generic within a universality class of black holes.

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Forward citations

Cited by 5 Pith papers

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

  1. Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory

    hep-th 2025-12 accept novelty 8.0 of 10

    A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.

  2. Resummation of Universal Tails in Gravitational Waveforms

    hep-th 2025-04 unverdicted novelty 7.0 of 10

    A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.

  3. Connecting scattering, monodromy, and MST's renormalized angular momentum for the Teukolsky equation in Kerr spacetime

    gr-qc 2024-12 conditional novelty 6.0 of 10

    The MST renormalized angular momentum for the Kerr Teukolsky equation is exactly related to the monodromy eigenvalues of the irregular singular point at infinity.

  4. Exceptional lines in the Kerr-Newman black hole spectrum

    gr-qc 2026-07 accept novelty 5.5 of 10

    Near-extremal Kerr-Newman black holes host exceptional lines of degenerate (ℓ,m)=(1,1) scalar overtones that induce spectral permutations and link to zero-damping/damped mode branching.

  5. Monodromy, Hidden Conformal Symmetry and Soft Hair in Kerr-MOG Black Hole

    hep-th 2026-07 conditional novelty 4.0 of 10

    Kerr-MOG black holes are claimed to admit a 2D CFT dual with temperatures TL and TR and central charge 12J, reproducing the Bekenstein-Hawking entropy and scalar absorption cross section.

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