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arXiv · 0805.2834

3-dimensional holographic trace anomaly from AdS/CFT correspondence

Chong Oh Lee·Chaiho Rim
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Abstract

We explicitly obtain energy-momentum tensor at the asymptotic 3-dimensional region of Schwarzschild AdS$_4$ and Taub-NUT-(A)dS$_4$ using the so-called `counter-term subtraction method' in Fefferman-Graham coordinate. The energy momentum tensor is presented in a closed form for the AdS$_4$ 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.

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Chong Oh Lee, Chaiho Rim. 2008-07-30. 3-dimensional holographic trace anomaly from AdS/CFT correspondence. https://arxiv.org/abs/0805.2834

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