Proper time to singularity and thermal correlators

Abstract

We study certain higher point thermal correlators of heavy and light scalar primaries in a holographic CFT. Assuming simple self-interactions and couplings of the scalars in the bulk theory, we show that the thermal correlators contain a signature of the proper time to singularity from the horizon. The key idea is to use WKB approximations for the propagators and evaluate the bulk integrals using saddle point method.

26 pages, 5 figures

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