DSSYK at Infinite Temperature: The Flat-Space Limit and the 't Hooft Model

TL;DR

This paper explores the holographic dual of a flat-space limit of de Sitter space, revealing that DSSYK at infinite temperature corresponds to a strongly coupled 't Hooft model, akin to a (1+1)-dimensional QCD with mesons.

Contribution

It demonstrates that the flat-space limit of DSSYK at infinite temperature is dual to a strongly coupled 't Hooft model, providing insights into the holographic description of flat space theories.

Findings

The bulk theory is a strongly coupled (1+1)-D QCD with a single quark flavor.

The holographic dual corresponds to an open string theory with mesons on a Regge trajectory.

The flat-space limit of de Sitter space relates to a Rindler space holographic description.

Abstract

In the limit of infinite radius de Sitter space becomes locally flat and the static patch tends to Rindler space. A holographic description of the static patch must result in a holographic description of some flat space theory, expressed in Rindler coordinates. Given such a holographic theory how does one decode the hologram and determine the bulk flat space theory, its particle spectrum, forces, and bulk quantum fields? In this paper we will answer this question for a particular case: DSSYK at infinite temperature and show that the bulk theory is a strongly coupled version of the 't Hooft model, i.e., (1+1)-dimensional QCD, with a single quark flavor. It may also be thought of as an open string theory with mesons lying on a single Regge trajectory.