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arXiv · 1309.0211

A Note on Holographic Weyl Anomaly and Entanglement Entropy

Rong-Xin Miao
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Abstract

We develop a general approach to simplify the derivation of the holographic Weyl anomaly. As an application, we derive the holographic Weyl anomaly from general higher derivative gravity in asymptotically $AdS_{5}$ and $AdS_{7}$. Interestingly, to derive all the central charges of 4d and 6d CFTs, we make no use of equations of motion. Following Myers' idea, we propose a formula of holographic entanglement entropy for higher derivative gravity in asymptotically $AdS_5$. Applying this formula, we obtain the correct universal term of entanglement entropy for 4d CFTs. It turns out that our formula is the leading term of Dong's proposal in asymptotically $AdS_5$. Since only the leading term contributes to the universal log term, we actually prove that Dong's proposal yields the correct universal term of entanglement entropy for 4d CFTs. This is a nontrivial test of Dong's proposal.

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Rong-Xin Miao. 2013-09-01. A Note on Holographic Weyl Anomaly and Entanglement Entropy. https://doi.org/10.1088/0264-9381%2F31%2F6%2F065009

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