Hawking from Catalan

Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.; Wang, Junpu

doi:10.1007/JHEP05(2016)069

Title: Hawking from Catalan

Journal Article · Thu May 12 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2016)069· OSTI ID:1253729

Fitzpatrick, A. Liam ^[1]; Kaplan, Jared ^[2]; Walters, Matthew T. ^[3]; Wang, Junpu ^[2]

Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States); Boston Univ., Boston, MA (United States)
John Hopkins Univ., Baltimore, MD (United States)
Boston Univ., Boston, MA (United States)

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 h_H/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 h_H/c determines the Hawking temperature of a BTZ black hole in dual AdS₃ theories.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1253729

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 5; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 41 works

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