String Theory seminar - Micha Berkooz  Seminar

Abstract: The double scaled Sachdev-Ye_Kitaev is a p-local quantum mechanical system of N (being large) Majorana fermions, with a low energy non-Fermi liquid phase. It is dual to gravity on AdS2, which is described by JT gravity at low energies. In the double scaled SYK, in which we scale the parameter p as N^{1/2},  we can solve the theory completely at all energy scales just using combinatorics. The procedure automatically generates the boundary particle dynamics, ie., key aspects of the bulk theory. We will discuss the underlying q-deformed SL(2) structure, what it means for the existence of a minimal length in spacetime, how it turns spacetime into a non-commutative space, and how to generalize the technique to study new phases of the theory such integrable to chaotic transitions.