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Space-Time in the SYK Model

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arxiv 1712.02725 v2 pith:JA3S736H submitted 2017-12-07 hep-th gr-qc

Sumit R. Das , Animik Ghosh , Antal Jevicki , Kenta Suzuki This is my paper · ORCID
classification hep-thgr-qc
keywords modelspace-timeadditionalbulkeuclideansignaturestatestheory
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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 leg-factors. 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Radon Transforms and the SYK model

    math-ph 2025-06 conditional novelty 6.0 of 10

    The Radon transform on the Poincare disc shows that the SYK four-point boundary condition theta = 3 pi / 4 is the unique one compatible with the antipodal identification of kinematic de Sitter space.

  2. Lorentzian OPE Inversion Formula: A Geometric Perspective

    hep-th 2025-01 conditional novelty 5.0 of 10

    The Mellin transform of a Radon-transformed (auxiliary) four-point function reproduces the Lorentzian OPE partial wave amplitudes, giving a geometric projection-slice interpretation.

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