Corrections in the relative entropy of black hole microstates

Michel, Ben; Puhm, Andrea

doi:10.1007/jhep07(2018)179

Corrections in the relative entropy of black hole microstates

Journal Article · Tue Jul 31 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep07(2018)179· OSTI ID:1505230

Michel, Ben ^[1]; Puhm, Andrea ^[2]

Univ. of California, Los Angeles, CA (United States); Univ. of California, Santa Barbara, CA (United States); Harvard Univ., Cambridge, MA (United States)
Univ. of Paris-Saclay, Palaiseau (France). École Polytechnique (EP); Harvard Univ., Cambridge, MA (United States)

Inspired by the recent work of Bao and Ooguri (BO), we investigate 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. Nonetheless, 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(c⁰).

View Accepted Manuscript (DOE)

Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0007870

OSTI ID:: 1505230

Alternate ID(s):: OSTI ID: 22743495

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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