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arXiv · 1611.08601

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

Alexandre Belin·Ben Freivogel·Robert A. Jefferson·Laurens Kabir
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Abstract

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.

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Alexandre Belin, Ben Freivogel, Robert A. Jefferson, Laurens Kabir. 2016-11-25. Sub-AdS Scale Locality in AdS$_3$/CFT$_2$. https://doi.org/10.1007/jhep04(2017)147

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