Where is the Entropy in DSSYK-de Sitter? Correction to a wrong claim

Abstract

A question arises in the holographic description of the static patch of de Sitter space: Where does the entropy reside? The answer of course is in the stretched horizon, but how far from the mathematical horizon is the stretched horizon? In recent papers and lectures I argued that the entropy in DSSYK/JT-de Sitter resides at a string distance from the horizon. That conclusion was based on misconception about the confinement-deconfinement transition in the 't Hooft model. When corrected the right answer is of order the Planck distance (which differs from the string distance by a factor of order $\sqrt{N}).$