Black Hole Emission Rates and the AdS/CFT Correspondence

TL;DR

This paper investigates black hole emission rates using the AdS/CFT correspondence, demonstrating that decay rates of various particles can be exactly reproduced by a boundary conformal field theory in a higher-dimensional spacetime.

Contribution

It establishes a precise connection between black hole emission rates and boundary CFT operators, extending the AdS/CFT correspondence to black hole decay processes.

Findings

Exact decay rates match between bulk calculations and boundary CFT predictions.

The dimension of CFT operators is determined from the bulk fields.

Emission spectra for scalar, spinor, and vector particles are computed.

Abstract

We study the emission rates of scalar, spinor and vector particles from a 5 dimensional black hole for arbitrary partial waves. The solution is lifted to 6 dimensions, and the near horizon $ BTZ \times S^3$ geometry of the black hole solution is probed to determine the greybody factors. We show that the exact decay rates can be reproduced from a $(1+1)$-dimensional conformal field theory which lies on the boundary of the near horizon geometry. The AdS/CFT correspondence is used to determine the dimension of the CFT operators corresponding to the bulk fields. These operators couple to plane waves incident on the CFT from infinity to produce emission in the bulk.