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Title: Hawking from Catalan

Abstract

The Virasoro algebra determines all ‘graviton’ matrix elements in AdS3/CFT2. We study the explicit exchange of any number of Virasoro gravitons between heavy and light CFT2 operators at large central charge. These graviton exchanges can be written in terms of new on-shell tree diagrams, organized in a perturbative expansion in hH/c, the heavy operator dimension divided by the central charge. The Virasoro vacuum conformal block, which is the sum of all the tree diagrams, obeys a differential recursion relation generalizing that of the Catalan numbers. Here, we use this recursion relation to sum the on-shell diagrams to all orders, computing the Virasoro vacuum block. Extrapolating to large hH/c determines the Hawking temperature of a BTZ black hole in dual AdS3 theories.

Authors:
 [1];  [2];  [3];  [2]
  1. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States); Boston Univ., Boston, MA (United States)
  2. John Hopkins Univ., Baltimore, MD (United States)
  3. Boston Univ., Boston, MA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1253729
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; 1/N expansion; AdS-CFT correspondence; black holes; conformal and W symmetry

Citation Formats

Fitzpatrick, A. Liam, Kaplan, Jared, Walters, Matthew T., and Wang, Junpu. Hawking from Catalan. United States: N. p., 2016. Web. doi:10.1007/JHEP05(2016)069.
Fitzpatrick, A. Liam, Kaplan, Jared, Walters, Matthew T., & Wang, Junpu. Hawking from Catalan. United States. doi:10.1007/JHEP05(2016)069.
Fitzpatrick, A. Liam, Kaplan, Jared, Walters, Matthew T., and Wang, Junpu. Thu . "Hawking from Catalan". United States. doi:10.1007/JHEP05(2016)069. https://www.osti.gov/servlets/purl/1253729.
@article{osti_1253729,
title = {Hawking from Catalan},
author = {Fitzpatrick, A. Liam and Kaplan, Jared and Walters, Matthew T. and Wang, Junpu},
abstractNote = {The Virasoro algebra determines all ‘graviton’ matrix elements in AdS3/CFT2. We study the explicit exchange of any number of Virasoro gravitons between heavy and light CFT2 operators at large central charge. These graviton exchanges can be written in terms of new on-shell tree diagrams, organized in a perturbative expansion in hH/c, the heavy operator dimension divided by the central charge. The Virasoro vacuum conformal block, which is the sum of all the tree diagrams, obeys a differential recursion relation generalizing that of the Catalan numbers. Here, we use this recursion relation to sum the on-shell diagrams to all orders, computing the Virasoro vacuum block. Extrapolating to large hH/c determines the Hawking temperature of a BTZ black hole in dual AdS3 theories.},
doi = {10.1007/JHEP05(2016)069},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2016,
place = {United States},
year = {2016},
month = {5}
}

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Cited by: 12 works
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