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arXiv · 2506.01766

Janus correlators and Heun's equation

Michael Gutperle·Christina Yeo
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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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Michael Gutperle, Christina Yeo. 2025-06-02. Janus correlators and Heun's equation. https://arxiv.org/abs/2506.01766

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