Exploring the Similarities of the dS/CFT and Ads/CFT Correspondences

TL;DR

This paper compares the dS/CFT and AdS/CFT correspondences, highlighting their similarities and proposing an extended Euclidean approach to explore their connections, especially within the context of M-theory.

Contribution

It introduces an extension of the Euclidean approach to AdS/CFT to better understand the similarities with dS/CFT, and discusses compatibility with Hull's embedding in M-theory.

Findings

Both correspondences involve CFTs on connected spaces.

Similar scalar mass constraints are imposed in both frameworks.

The extended Euclidean approach can be applied to explore these parallels.

Abstract

The dS/CFT correspondence differs from its AdS/CFT counterpart in some ways, yet is strikingly similar to it in many others. For example, both involve CFTs defined on connected spaces (despite the fact that the conformal boundary of deSitter space is not connected), and both impose constraints on scalar masses (Strominger's bound for deSitter, and the Breitenlohner-Freedman bound for Anti-deSitter). We argue that these similarities can be explored and exploited using a slight extension of the Euclidean approach to AdS/CFT. The methods are particularly compatible with Hull's embedding of deSitter Space in a timelike T-dual version of M-theory.