# A simple model for Hawking radiation

## TL;DR

This paper models Hawking radiation using a solvable SYK system with Majorana fermions, revealing how the system induces maximal chaos and spectrum features similar to black hole radiation.

## Contribution

It introduces a simple model where probe Majoranas interact with an SYK system, elucidating features related to Hawking radiation and chaos in a solvable framework.

## Key findings

- SYK system induces maximal chaos.
- Probe Majoranas acquire the spectrum of the SYK system.
- Soft mode action renormalization is computed.

## Abstract

We consider $n$ free Majorana fermions probing a SYK system comprising of $N$ Majorana fermions. We solve the full system in deep infrared and in large $N$ (as well as large $n$) limit. The essential physics of the SYK system is not affected by the probe Majoranas, except addition of another tower of primaries. The SYK system is seen to induce maximal chaos as well as the whole spectrum of primaries, on to the probe system. The renormalization of soft mode action is computed. We comment on features in common with Hawking radiation.