# Thermodynamics and Many Body Chaos for generalized large q SYK models

## TL;DR

This paper analyzes generalized large q SYK models with multi-body interactions, deriving thermodynamic properties and chaos exponents, and introduces a numerical method for calculating Lyapunov exponents efficiently.

## Contribution

It provides a universal thermodynamic description and a novel numerical approach for chaos analysis in generalized large q SYK models.

## Key findings

- Derived a universal expression for thermodynamic quantities.
- Developed an efficient numerical method for Lyapunov exponent calculation.
- Extended analysis to models with multi-body interactions.

## Abstract

This paper considers a type of generalized large $q$ SYK models which include multi-body interactions between Majorana fermions. We derive an effective action in the limit of large $N$ and large $q$ (with ${~q^2\over N} $ small), and find a universal expression for thermodynamical quantities. We also consider the chaos exponent using the retarded kernel method and find an efficient way to calculate the Lyapunov exponent for generalized large $q$ SYK models numerically.