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Carroll Geometry Meets De Sitter Space via Holography

Chris D. A. Blair, Niels A. Obers, Ziqi Yan

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.

Carroll Geometry Meets De Sitter Space via Holography

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.

Paper Structure

This paper contains 33 equations, 1 figure.

Figures (1)

  • Figure 1: Timelike T-duality as a looking-glass: it maps between not only Galilei- and Carroll-like geometries but also AdS and dS holography. The AdS (dS) bulk geometry itself also acts as a looking-glass between Galilei-like (Carroll-like) geometry at the asymptotic infinity and Carroll-like (Galilei-like) geometry on the horizon.