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  A Note on Holographic Weyl Anomaly and Entanglement Entropy

Miao, R. (2014). A Note on Holographic Weyl Anomaly and Entanglement Entropy. Classical and quantum gravity, 31(6): 065009. doi:10.1088/0264-9381/31/6/065009.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-7E5D-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-8C80-1
Genre: Journal Article

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 Creators:
Miao, Rongxin1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 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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 Dates: 2013-09-012014-02-062014
 Publication Status: Published in print
 Pages: 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
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 Rev. Type: -
 Identifiers: arXiv: 1309.0211
DOI: 10.1088/0264-9381/31/6/065009
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 31 (6) Sequence Number: 065009 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1