Space-time in the SYK model

• DOI: 10.1007/jhep07(2018)184
• Publication Date: 2018-08-01T09:34:51Z
• Authors: Sumit R. Das; Animik Ghosh; Antal Jevicki; Kenta Suzuki
• Keywords: High Energy Physics - Theory; Space-Time Symmetries; FOS: Physical sciences; QC770-798; General Relativity and Quantum Cosmology (gr-qc); AdS-CFT Correspondence; 01 natural sciences; Gauge-gravity correspondence; General Relativity and Quantum Cosmology; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; 2D Gravity

Abstract

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.