Thermodynamics and many body chaos for generalized large q SYK models

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 $\frac{q^2}{N}$ small), and find a universal expression for thermody-namical 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.