Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2016)069
Keywords
1/N Expansion; AdS-CFT Correspondence; Black Holes; Conformal and W Symmetry
Categories
Funding
- NSF [PHY-1316665, PHY-1454083]
- Sloan Foundation fellowship
- ERC grant BSMOXFORD [228169]
- DOE grant [DE-SC0010025]
- National Science Foundation [PHY-1066293]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1316665] Funding Source: National Science Foundation
- U.S. Department of Energy (DOE) [DE-SC0010025] Funding Source: U.S. Department of Energy (DOE)
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The Virasoro algebra determines all 'graviton' matrix elements in AdS(3)/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. 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 AdS(3) theories.
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