Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP07(2018)179
Keywords
AdS-CFT Correspondence; Black Holes in String Theory; Conformal Field Theory; D-branes
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Funding
- NSF [PHY13-16748]
- Mani L. Bhaumik Institute at UCLA
- Black Hole Initiative at Harvard University - John Templeton Foundation
- Simons Investigator Award [291811]
- DOE [DE-SC0007870]
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Inspired by the recent work of Bao and Ooguri (BO), we study the distinguishability of the black hole microstates from the thermal state as captured by the average of their relative entropies: the Holevo information. Under the assumption that the vacuum conformal block dominates the entropy calculation, BO find that the average relative entropy vanishes on spatial regions smaller than half the size of the CFT. However, vacuum block dominance fails for some microstates of the M = 0 BTZ black hole. We show that this renders the average relative entropy nonzero even on infinitesimal intervals at O(c(0)).
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