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A note on the resolution of the entropy discrepancy

MPG-Autoren
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Miao,  Rong Xin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1504.02301.pdf
(Preprint), 191KB

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Zitation

Huang, Y., & Miao, R. X. (2015). A note on the resolution of the entropy discrepancy. Physics Letters B, 749, 489-494. doi:10.1016/j.physletb.2015.08.039.


Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0027-7CF5-5
Zusammenfassung
It is found by Hung, Myers and Smolkin that there is entropy discrepancy between the field theoretical and the holographic results for the CFTs in 6d spacetime. Recently, there appears two different proposals for the resolution of this puzzle. One proposes to use the anomaly of entropy and the generalized Wald entropy to resolve the HMS puzzle. While the other one suggests to use the entropy of total derivatives to explain the HMS mismatch. We investigate these two proposals carefully in this note. By studying the example of Einstein gravity, we find that it is the proposal of [2] rather than the one of [3,4] that can solve the HMS puzzle. Besides, we find that there is arbitrariness in the derivations of Wald entropy. And only the total entropy is well-defined.