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

Abstract

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 AdS 3/CFT 2. 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/c 2 and 1/c 3 with external dimensions fixed, corresponding to 2 and 3 loop calculations in AdS 3, and (4) we derive the heavy-light vacuum blocks in theories with N = 1, 2 superconformal symmetry.

Authors:
 [1];  [2];  [1];  [1];  [1]
  1. Johns Hopkins Univ., Baltimore, MD (United States)
  2. Boston Univ., Boston, MA (United States)
Publication Date:
Research Org.:
Johns Hopkins Univ., Baltimore, MD (United States); Boston Univ., MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1361190
Alternate Identifier(s):
OSTI ID: 1366967
Grant/Contract Number:  
SC0010025
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N expansion; AdS-CFT correspondence; conformal and W symmetry; conformal field theory; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Classical Theories of Gravity; Gauge Symmetry; Gauge-gravity correspondence

Citation Formats

Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, and Wang, Junpu. Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks. United States: N. p., 2017. Web. doi:10.1007/JHEP03(2017)167.
Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, & Wang, Junpu. Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks. United States. doi:10.1007/JHEP03(2017)167.
Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, and Wang, Junpu. Thu . "Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks". United States. doi:10.1007/JHEP03(2017)167. https://www.osti.gov/servlets/purl/1361190.
@article{osti_1361190,
title = {Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks},
author = {Chen, Hongbin and Fitzpatrick, A. Liam and Kaplan, Jared and Li, Daliang and Wang, Junpu},
abstractNote = {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.},
doi = {10.1007/JHEP03(2017)167},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 3,
volume = 2017,
place = {United States},
year = {2017},
month = {3}
}

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Cited by: 8 works
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