Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks

Chen, Hongbin; Fitzpatrick, A. Liam; Kaplan, Jared; Li, Daliang; Wang, Junpu

doi:10.1007/JHEP03(2017)167

Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks

Journal Article · Thu Mar 30 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2017)167· OSTI ID:1361190

Chen, Hongbin ^[1]; Fitzpatrick, A. Liam ^[2]; Kaplan, Jared ^[3]; Li, Daliang ^[3]; Wang, Junpu ^[3]

Johns Hopkins Univ., Baltimore, MD (United States); Department of Physics and Astronomy, Johns Hopkins University, Charles Street, Baltimore, MD 21218, U.S.A.
Boston Univ., Boston, MA (United States)
Johns Hopkins Univ., Baltimore, MD (United States)

Here, one can obtain exact information about Virasoro conformal blocks by analytically continuing the correlators of degenerate operators. We argued in recent work that this technique can be used to explicitly resolve information loss problems in AdS₃/CFT₂. In this paper we use the technique to perform calculations in the small 1/c ∝ GN expansion: (1) we prove the all-orders resummation of logarithmic factors ∝1/clog z in the Lorentzian regime, demonstrating that 1/c corrections directly shift Lyapunov exponents associated with chaos, as claimed in prior work, (2) we perform another all-orders resummation in the limit of large c with fixed cz, interpolating between the early onset of chaos and late time behavior, (3) we explicitly compute the Virasoro vacuum block to order 1/c² and 1/c³ with external dimensions fixed, corresponding to 2 and 3 loop calculations in AdS₃, and (4) we derive the heavy-light vacuum blocks in theories with N = 1, 2 superconformal symmetry.

View Accepted Manuscript (DOE)

Research Organization:: Boston Univ., MA (United States); Johns Hopkins Univ., Baltimore, MD (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010025

OSTI ID:: 1361190

Alternate ID(s):: OSTI ID: 1366967
OSTI ID: 22659212

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks

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