On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles

Fitzpatrick, A. Liam; Kaplan, Jared

doi:10.1007/JHEP04(2017)072

On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles

Journal Article · Wed Apr 12 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP04(2017)072· OSTI ID:1366749

Fitzpatrick, A. Liam ^[1]; Kaplan, Jared ^[2]

Boston Univ., Boston, MA (United States); Boston University
Johns Hopkins Univ., Baltimore, MD (United States)

Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS₃/CFT₂ can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum or OPE coefficients. Here, we elaborate on the non-perturbative behavior of Virasoro blocks by classifying all ‘saddles’ that can contribute for arbitrary values of external and internal operator dimensions in the semiclassical large central charge limit. The leading saddles, which determine the naive semiclassical behavior of the Virasoro blocks, all decay exponentially at late times, and at a rate that is independent of internal operator dimensions. Consequently, the semiclassical contribution of a finite number of high-energy states cannot resolve a well-known version of the information loss problem in AdS₃. Furthermore, we identify two infinite classes of sub-leading saddles, and one of these classes does not decay at late times.

View Accepted Manuscript (DOE)

Research Organization:: Boston Univ., Boston, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010025

OSTI ID:: 1366749

Alternate ID(s):: OSTI ID: 22666381

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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