Probing Black Hole Thermal Effects in the Dual CFT via Wave Packets

TL;DR

This paper explores how black hole effects in the bulk AdS space produce thermal signatures in the dual CFT, using wave packets and three-point functions to analyze the holographic correspondence.

Contribution

It provides an analytical example of black hole thermal effects in the dual CFT through wave packet analysis and three-point functions in the holographic framework.

Findings

Demonstrates exponential damping as a thermal signature

Connects black hole physics with CFT observables

Provides an analytically tractable holographic model

Abstract

We investigate how the gravitational effects of a black hole manifest themselves as thermal behavior in the dual finite-temperature conformal field theory (CFT). In the holographic framework of AdS/CFT, we analyze a wave packet propagating into a black hole geometry in the bulk by computing three-point functions of a scalar primary operator in the boundary CFT. Our setup captures thermal signatures such as exponential damping of the expectation value, which are absent at zero-temperature. This provides a concrete and analytically tractable example of how black hole physics can be probed from the CFT side.