Logarithmic modes of critical gravity in de Sitter space-time

TL;DR

This paper explores critical gravity in four-dimensional de Sitter space-time, deriving logarithmic modes at the critical point and suggesting a potential de Sitter/log CFT correspondence based on their properties.

Contribution

It introduces logarithmic modes in de Sitter space-time at the critical point, extending the understanding of critical gravity beyond Anti-de Sitter space.

Findings

Logarithmic modes obey similar properties as in AdS space

Potential de Sitter/log CFT correspondence suggested

Critical gravity in de Sitter space exhibits unique logarithmic solutions

Abstract

In this paper we consider the critical gravity in four dimensional de Sitter space-time. We obtain logarithmic modes in the critical point of the theory. Then we show that these logarithmic modes in de Sitter space-time obey similar properties as the ones in AdS-space-time. Our result in this paper indicate that critical gravity theories in de Sitter space-times could lead to a de Sitter/log CFT correspondence.