Holographic renormalization group and conformal anomaly for AdS_9/CFT_8 correspondence

TL;DR

This paper explores holographic renormalization group flows and conformal anomalies in nine-dimensional AdS/CFT correspondence, providing new insights into the duality between AdS_9 and CFT_8.

Contribution

It calculates the d8 holographic conformal anomaly and compares it with QFT anomalies, advancing the understanding of AdS_9/CFT_8 duality.

Findings

Holographic conformal anomaly in nine dimensions identified

Comparison with QFT anomalies in d8 de Sitter space conducted

Potential evidence supporting AdS_9/CFT_8 correspondence proposed

Abstract

Holographic Renormalization Group (RG) in nine dimensions is considered. The d8 holographic conformal anomaly is found. It should correspond to d8 CFT in AdS_9/CFT_8 correspondence. The comparison of holographic and QFT anomalies in d8 de Sitter space is done. It may give the indication for rigorous AdS_9/CFT_8 correspondence proposal.