3-dimensional holographic trace anomaly from AdS/CFT correspondence

2008/05/19 by Chong Oh Lee, Lee, Chong Oh, Chaiho Rim +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.0805.2834

openalex publication_date 2008/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explicitly obtain energy-momentum tensor at the asymptotic 3-dimensional region of Schwarzschild AdS₄ and Taub-NUT-(A)dS₄ using the so-called `counter-term subtraction method' in Fefferman-Graham coordinate. The energy momentum tensor is presented in a closed form for the AdS₄ and for the special case of Taub-NUT-dS and in an asymptotic series for other cases. The result suggests that in light of AdS/CFT correspondence, the 3-dimensional trace anomaly can be expressed in terms of the 3-dimensional volume and Ricci scalar.

Citations

• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• The Holographic Bound in Anti-de Sitter Space
• Entropic N-bound and maximal mass conjecture violations in four-dimensional Taub-Bolt(NUT)-dS spacetimes

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