Sub-AdS Scale Locality in AdS$_3$/CFT$_2$

Autor: Belin, Alexandre, Freivogel, Ben, Jefferson, Robert A., Kabir, Laurens
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