Sub-AdS Scale Locality in AdS$_3$/CFT$_2$
Autor: | Belin, Alexandre, Freivogel, Ben, Jefferson, Robert A., Kabir, Laurens |
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Rok vydání: | 2016 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/JHEP04(2017)147 |
Popis: | We investigate sub-AdS scale locality in a weakly coupled toy model of the AdS$_3$/CFT$_2$ correspondence. We find that this simple model has the correct density of states at low and high energies to be dual to Einstein gravity coupled to matter in AdS$_3$. Bulk correlation functions also have the correct behavior at leading order in the large $N$ expansion, but non-local effects emerge at order $1/N$. Our analysis leads to the conjecture that any large $N$ CFT$_2$ that is modular invariant and has the right low-energy density of states is dual to a gravitational theory with sub-AdS scale locality. Comment: 19 pages |
Databáze: | arXiv |
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