Greybody Factors for Black Holes in Four Dimensions: Particles with Spin

TL;DR

This paper calculates the Hawking radiation spectra of spinning particles emitted from four-dimensional black holes in string theory, revealing a product structure linked to an effective string model and suggesting a heterotic nature of the emission process.

Contribution

It introduces a detailed computation of spin-dependent Hawking radiation spectra and uncovers a novel cancellation mechanism for spin-one and spin-two particles, supporting a heterotic string interpretation.

Findings

Spectra exhibit a product structure related to thermal correlation functions.

Spin-one and spin-two particles require a cancellation in the wave function contributions.

Emission is consistent with a heterotic string model, with particles emitted from the right-moving sector.

Abstract

We compute the emission spectrum of minimally coupled particles with spin that are Hawking radiated from four dimensional black holes in string theory. For a range of the black hole parameters the result has a product structure that may be interpreted in terms of the respective right- and left-moving thermal correlation functions of an effective string model. For spin-one and spin-two particles a novel cancellation between contributions to the wave function is needed to ensure this outcome. The form of the spectra suggests that the four-dimensional effective string description is ``heterotic'': particles with spin are emitted from the right-moving sector, only.