High Energy Theory Group Meeting: Towards a full solution of large N double-scaled SYK

Abstract:

We show that exact correlation functions (at all energy scales) can be obtained in double-scaled SYK, which is the usual SYK model where the number of fermions in the interaction scales as \sqrt{N}. This includes the four-point function, from which corrections to the maximal Lyapunov exponent are calculated. These results are related in the appropriate limit to recent results on SYK and the Schwarzian theory. We find indications that the model can be completely solved using symmetry considerations.