Space-time in the SYK model. (English) Zbl 1395.83088
Summary: 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.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C80 | Analogues of general relativity in lower dimensions |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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