A note on holographic Weyl anomaly and entanglement entropy

作者：Miao Rong Xin^*

来源：Classical and Quantum Gravity, 2014, 31(6): 065009.

DOI：10.1088/0264-9381/31/6/065009

• AdS/CFT correspondence
• holographic Weyl anomaly
• holographic entanglement entropy

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 conformal field theories (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.

• 出版日期2014-3-21
• 单位中国科学技术大学