Holographic boundary states and dimensionally-reduced braneworld spacetimes

TL;DR

This paper explores microscopic models of braneworld cosmology within AdS/CFT, demonstrating that boundary states in the Sachdev-Ye-Kitaev model and microstates in Einstein-Maxwell theory are dual and exhibit similar symmetry breaking patterns, supporting their microscopic interpretation.

Contribution

It establishes a duality between boundary states in the SYK model and microstates in Einstein-Maxwell theory with end-of-the-world branes, showing consistent symmetry breaking patterns.

Findings

Boundary states in SYK model appear thermal with specific symmetry breaking.

Microstates in Einstein-Maxwell theory reduce to 2D Jackiw-Teitelboim gravity.

Duality between SYK boundary states and Einstein-Maxwell microstates is supported.

Abstract

Recently it was proposed that microscopic models of braneworld cosmology could be realized in the context of AdS/CFT using black hole microstates containing an end-of-the-world brane. Motivated by a desire to establish the microscopic existence of such microstates, which so far have been discussed primarily in bottom-up models, we have studied similar microstates in a simpler version of AdS/CFT. On one side, we define and study boundary states in the charged Sachdev-Ye-Kitaev model and show that these states typically look thermal with a certain pattern of symmetry breaking. On the other side, we study the dimensional reduction of microstates in Einstein-Maxwell theory featuring an end-of-the-world brane and show that they have an equivalent description in terms of 2D Jackiw-Teitelboim gravity coupled to an end-of-the-world particle. In particular, the same pattern of symmetry breaking is realized in both sides of the proposed duality. These results give significant evidence that such black hole microstates have a sensible microscopic realization.