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.
Absorption cross section in gravity's rainbow from confluent Heun equation
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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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Janus correlators and Heun's equation
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.