A note on holographic Weyl anomaly and entanglement entropy
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 AdS5 and AdS7. 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 AdS5. 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 AdS5. 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.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- March 2014
- DOI:
- 10.1088/0264-9381/31/6/065009
- arXiv:
- arXiv:1309.0211
- Bibcode:
- 2014CQGra..31f5009M
- Keywords:
-
- 04.20.-q;
- 11.25.Tq;
- 11.25.Hf;
- 04.50.Kd;
- AdS/CFT correspondence;
- holographic Weyl anomaly;
- holographic entanglement entropy;
- High Energy Physics - Theory
- E-Print:
- 20 pages, no figures, accepted by Classical and Quantum Gravity, prove that Dong's proposal [arXiv: arXiv:1310.5713] gives the correct universal term of entanglement entropy for 4d CFTs