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Absorption cross section in gravity's rainbow from confluent Heun equation

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arxiv 2307.12824 v1 pith:2GGPKSP2 submitted 2023-07-24 gr-qc hep-th

Kihong Kwon , Julián Barragán Amado , Bogeun Gwak This is my paper
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keywords confluentabsorptioncrossequationgravityheunrainbowsection
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We investigate the scattering of a massless scalar field by a charged non-rotating black hole in the presence of gravity's rainbow. Using the connection coefficients of the confluent Heun equation expressed in terms of the semi-classical confluent conformal blocks and the instanton part of the Nekrasov-Shatashvili (NS) free energy, we obtain an asymptotic expansion for the low-energy absorption cross section.

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  1. Janus correlators and Heun's equation

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the 3D Janus background, defect operator dimensions shift by O(c_J^2), and BOPE coefficients are read off as residues of Heun connection coefficients.

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