Conformal anomaly from dS/CFT correspondence

TL;DR

This paper calculates the holographic conformal anomaly in the dS/CFT correspondence framework, showing that the anomalies in de Sitter space mirror those in Anti-de Sitter space, using holographic renormalization.

Contribution

It provides the first explicit calculation of conformal anomalies in dS/CFT, demonstrating their similarity to AdS/CFT anomalies through holographic renormalization.

Findings

Two-dimensional and four-dimensional conformal anomalies match those in AdS/CFT.

Holographic renormalization effectively computes anomalies in dS/CFT.

Conformal anomalies have the same form in dS/CFT as in AdS/CFT.

Abstract

In frames of dS/CFT correspondence suggested by Strominger we calculate holographic conformal anomaly for dual euclidean CFT. The holographic renormalization group method is used for this purpose. It is explicitly demonstrated that two-dimensional and four-dimensional conformal anomalies (or corresponding central charges) have the same form as those obtained in AdS/CFT duality.