We consider the question of identifying the bulk space-time of the SYK model. Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions. This results in a dual theory with Euclidean AdS signature with additional legfactors. We speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.

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Published in Journal of High Energy Physics, v. 2018, issue 7, article 184, p. 1-22.

© The Author(s) 2018

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Article funded by SCOAP3.

This work is supported by the Department of Energy under contract DE-SC0010010. The work of SRD and AG are partially supported by the National Science Foundation grant NSF-PHY-1521045. The work of KS is also supported by the Galkin Fellowship Award at Brown University