# Permutation Orbifolds and Chaos

## TL;DR

This paper investigates the chaotic properties of permutation orbifolds at large central charge, showing they do not exhibit late-time decay in correlation functions, indicating non-chaotic, integrable behavior.

## Contribution

It demonstrates that permutation orbifolds are non-chaotic by analyzing out-of-time-ordered correlators and relates this to their free discrete gauge theory nature.

## Key findings

- Correlation functions do not decay at late times in permutation orbifolds.
- Permutation orbifolds are identified as non-chaotic and integrable.
- Early-time behavior and effects of deformation to strong coupling are discussed.

## Abstract

We study out-of-time-ordered correlation functions in permutation orbifolds at large central charge. We show that they do not decay at late times for arbitrary choices of low-dimension operators, indicating that permutation orbifolds are non-chaotic theories. This is in agreement with the fact they are free discrete gauge theories and should be integrable rather than chaotic. We comment on the early-time behaviour of the correlators as well as the deformation to strong coupling.