Solving Large N Double-Scaled SYK

by Prof. Mikhail Isachenkov (IHES)

Thursday Apr 18, 2019, 2:30 PM → 3:30 PM Europe/Paris

Bâtiment Alix et Marwan Lahoud (IHES)

I will review a method to evaluate correlation functions of certain statistical systems via chord diagrams and apply it to compute correlators in the double-scaled version of SYK model, in particular in its large N limit. The results are exact at all energies and allow to extract corrections to the maximal Lyapunov exponent. Time permitting, I will comment on the suggested relation of this model to a Hamiltonian reduction of quantum particle moving on the non-compact quantum group SU_q(1,1).