A note on the resolution of the entropy discrepancy
It was found by Hung, Myers and Smolkin that there is entropy discrepancy for the CFTs in 6-dimensional space–time, between the field theoretical and the holographic analyses. Recently, two different resolutions to this puzzle have been proposed. One of them suggests to utilize the anomaly-like entr...
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doaj-bf3f22f08d074879ab75d760eb244b662020-11-24T22:35:54ZengElsevierPhysics Letters B0370-26931873-24452015-10-01749C48949410.1016/j.physletb.2015.08.039A note on the resolution of the entropy discrepancyYue Huang0Rong-Xin Miao1State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, ChinaMax Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476 Golm, GermanyIt was found by Hung, Myers and Smolkin that there is entropy discrepancy for the CFTs in 6-dimensional space–time, between the field theoretical and the holographic analyses. Recently, two different resolutions to this puzzle have been proposed. One of them suggests to utilize the anomaly-like entropy and the generalized Wald entropy to resolve the HMS puzzle, while the other one initiates the use of the entanglement entropy which arises from total derivative terms in the Weyl anomaly to explain the HMS mismatch. We investigate these two proposals carefully in this note. By studying the CFTs dual to Einstein gravity, we find that the second proposal cannot solve the HMS puzzle. Moreover, the Wald entropy formula is not well-defined on horizon with extrinsic curvatures, in the sense that, in general, it gives different results for equivalent actions.http://www.sciencedirect.com/science/article/pii/S0370269315006401 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yue Huang Rong-Xin Miao |
spellingShingle |
Yue Huang Rong-Xin Miao A note on the resolution of the entropy discrepancy Physics Letters B |
author_facet |
Yue Huang Rong-Xin Miao |
author_sort |
Yue Huang |
title |
A note on the resolution of the entropy discrepancy |
title_short |
A note on the resolution of the entropy discrepancy |
title_full |
A note on the resolution of the entropy discrepancy |
title_fullStr |
A note on the resolution of the entropy discrepancy |
title_full_unstemmed |
A note on the resolution of the entropy discrepancy |
title_sort |
note on the resolution of the entropy discrepancy |
publisher |
Elsevier |
series |
Physics Letters B |
issn |
0370-2693 1873-2445 |
publishDate |
2015-10-01 |
description |
It was found by Hung, Myers and Smolkin that there is entropy discrepancy for the CFTs in 6-dimensional space–time, between the field theoretical and the holographic analyses. Recently, two different resolutions to this puzzle have been proposed. One of them suggests to utilize the anomaly-like entropy and the generalized Wald entropy to resolve the HMS puzzle, while the other one initiates the use of the entanglement entropy which arises from total derivative terms in the Weyl anomaly to explain the HMS mismatch. We investigate these two proposals carefully in this note. By studying the CFTs dual to Einstein gravity, we find that the second proposal cannot solve the HMS puzzle. Moreover, the Wald entropy formula is not well-defined on horizon with extrinsic curvatures, in the sense that, in general, it gives different results for equivalent actions. |
url |
http://www.sciencedirect.com/science/article/pii/S0370269315006401 |
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