  We derive an effective field theory for general chaotic two-dimensional
conformal field theories with a large central charge. The theory is a specific
and calculable instance of a more general framework recently proposed in [1].
We discuss the gauge symmetries of the model and how they relate to the
Lyapunov behaviour of certain correlators. We calculate the out-of-time-ordered
correlators diagnosing quantum chaos, as well as certain more fine-grained
higher-point generalizations, using our Lorentzian effective field theory. We
comment on potential future applications of the effective theory to real-time
thermal physics and conformal field theory.
