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Scaling dimension of Cooper pair operator from the black hole interior

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arxiv 2203.08798 v4 pith:PCLDPYOG submitted 2022-02-16 hep-th

classification hep-th
keywords blackcooperdimensionholeoperatororderpairscalar
verification ladder T0 review T1 audit T2 compute T3 formal
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We have shown that in holographic superconductivity theory for 3+1 dimensional system, the scaling dimension of Cooper pair operator can be obtained as a quantized value if we request that the the scalar function describing the order parameter is finite inside the black hole as well as outside. This should be contrasted to the usual situation where we set the mass squared of the scalar by hand. Our method can be applied to any order parameters.

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Cited by 1 Pith paper

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

  1. A Horizon-to-Boundary Dictionary Linking Smooth Horizon Continuation, Pole-Skipping, and \(SL(2,\mathbb R)\) Lowest-Weight Structure

    hep-th 2026-07 conditional novelty 6.5 of 10

    Residual C∞ smoothness after removing the leading horizon prefactor selects the physical radial branch and is the bulk dual of boundary pole-skipping ambiguity.

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