Holographic trace anomaly at finite temperature

2007/06/19 by Bum-Hoon Lee, Lee, Bum-Hoon, Siyoung Nam +3
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics (astro-ph) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.0706.2715

openalex publication_date 2007/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find an exact coordinate transformation rule from the AdS₅ Schwarzschild black hole in the Poincare and the global patch to the Fefferman-Graham coordinate system. Using these results, we evaluate the corresponding holographic stress tensor and trace anomaly of the boundary theory as a function of the radial coordinate. Following the AdS/CFT correspondence, we reinterpret the radial coordinate dependence of the trace anomaly as the Wilsonian renormalization group(RG) flow of the boundary theory.

Citations

• The Holographic Bound in Anti-de Sitter Space
• The world as a hologram
• Dimensional Reduction in Quantum Gravity

Related

• Holography for the Trace Anomaly Action
• 3-dimensional holographic trace anomaly from AdS/CFT correspondence
• Fooling the Censor: Going beyond inner horizons with the OPE
• Holographic Renormalization Group and Stress Tensor Operators
• Holographic RG flow triggered by gluon condensate