We introduce a new algebraic framework to describe gravitational scrambling, including the semiclassical limit of any out-of-time-order correlation function that consists of s-wave operator insertions separated by approximately the scrambling time. This algebra, which we call a modular-twisted product, is defined starting from two half-sided modular inclusions of von Neumann algebras, interpreted physically as the large N limit of products … Read More

I will propose a mechanism, based on the Chern-Simons formulation of three-dimensional Euclidean gravity, that couples matter fields to three-dimensional de Sitter quantum gravity. First, I will derive su(2) representations that differ in Hermiticity choice from the usual unitary representations; these are important for gravitational applications of Chern-Simons theory. I will then introduce the concept of a “Wilson spool” constructed … Read More

Abstract:The proposal that DSSYK at infinite temperature is dual to JT deSitter space leads to the question of what the bulk theory is like, its particle spectrum, forces, fields etc. I will answer that question by examining the emergent symmetries of the double scaled limit. The answer: The ‘t Hooft model 2D QCD. The spectrum consists of a Regge-like trajectory … Read More