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  • Open Access

Janus correlators and Heun’s equation

Michael Gutperle* and Christina Yeo†

  • *Contact author: gutperle@ucla.edu
  • †Contact author: cyeo99@g.ucla.edu
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Phys. Rev. D 112, 126013 – Published 16 December, 2025

DOI: https://doi.org/10.1103/q2c9-jy7j

Abstract

In this paper we calculate two-point correlation functions of a massive probe scalar field in the background of the three-dimensional Janus solution. We relate the equation of motion of the scalar to Heun’s equation and use the recently obtained expressions for the connection coefficients to obtain the two-point function of operators dual to the probe scalar. From the correlators we obtain the corrections to the spectrum of boundary operators and bulk-boundary operator product coefficients to second order in the Janus deformation parameter.

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Phys. Rev. D 112, 126013– Published 16 December, 2025
  • Received 16 July 2025
  • Accepted 7 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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