Carroll Geometry Meets De Sitter Space via Holography

TL;DR

This paper explores how Carroll geometry relates to de Sitter space and holography, proposing new connections between geometric limits, matrix theory, and holographic models of de Sitter space.

Contribution

It introduces a novel link between Carroll geometry and de Sitter holography, inspired by limits of M-theory and matrix theory, expanding holographic frameworks.

Findings

Carroll geometry can model de Sitter holography.

Holographic constructions with Carroll-like bulk are possible.

Connections between Carroll and Galilei geometries are established.

Abstract

We explain how to relate the ideas of Carroll geometry, matrix theory on instantonic objects, and infinite boost limits of M-theory. Based on these new insights, we explore the implications for possible holographic constructions involving a de Sitter or flat space bulk. We show that Carroll-like geometry in a hypothetical de Sitter holography mirrors the recently realized important role played by Galilei-like geometry in matrix theory and the AdS/CFT correspondence. This also allows us to generate examples of holography with a Carroll-like bulk.