# Black Holes and Conformal Regge Bootstrap

## TL;DR

This paper explores the connection between black hole physics in AdS space and conformal Regge theory, providing new calculations of anomalous dimensions and confirming consistency with known lightcone limit results.

## Contribution

It introduces a systematic expansion parameter related to black hole size in AdS and computes higher-order corrections to double-trace operator anomalous dimensions.

## Key findings

- Explicit computation of first and second order anomalous dimensions.
- Agreement with known lightcone limit results.
- Clarification of stress tensor contributions in the dual CFT.

## Abstract

Highly energetic particles traveling in the background of an asymptotically AdS black hole experience a Shapiro time delay and an angle deflection. These quantities are related to the Regge limit of a heavy-heavy-light-light four-point function of scalar operators in the dual CFT. The Schwarzschild radius of the black hole in AdS units is proportional to the ratio of the conformal dimension of the heavy operator and the central charge. This ratio serves as a useful expansion parameter; its power counts the number of stress tensors in the multi-stress tensor operators which contribute to the four-point function. In the cross-channel the four-point function is determined by the OPE coefficients and anomalous dimensions of the heavy-light double-trace operators. We explain how this data can be obtained and explicitly compute the first and second order terms in the expansion of the anomalous dimensions. We observe perfect agreement with known results in the lightcone limit, which were obtained by computing perturbative corrections to the energy eigenstates in AdS spacetimes.