Matrix Model for De Sitter

TL;DR

This paper proposes a matrix model based on a spherical Chern-Simons theory to describe 4D de Sitter space near the horizon, exploring holography and connections to conformal field theories.

Contribution

It introduces a novel matrix model framework for de Sitter space, linking horizon physics with finite-dimensional Hilbert spaces and holographic principles.

Findings

Finite-dimensional Hilbert space for de Sitter space

Matrix model captures horizon physics

Comments on holography and CFT connections

Abstract

Based on a heuristic boost argument, we propose that the 4 dimensional de Sitter space can be described by a spherical Chern-Simons matrix model near the cosmological horizon, or models generalizing this simple choice. The dimension of the Hilbert space is naturally finite. We also make some comments on possible realization of holography in this approach, and on possible relation to the conformal field theory approach.