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An introduction to the SYK model

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arxiv 1807.03334 v1 pith:VFFN3GSX submitted 2018-07-09 hep-th cond-mat.str-elgr-qcmath-phmath.MPquant-ph

classification hep-thcond-mat.str-elgr-qcmath-phmath.MPquant-ph
keywords introductionmodelapplicationsclasscomputationcorrelationdiscussfield
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These notes are a short introduction to the Sachdev-Ye-Kitaev model. We discuss: SYK and tensor models as a new class of large N quantum field theories, the near-conformal invariance in the infrared, the computation of correlation functions, generalizations of SYK, and applications to AdS/CFT and strange metals.

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Cited by 3 Pith papers

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

  1. Realizing Unitary $k$-designs with a Single Quench

    quant-ph 2025-11 conditional novelty 7.0 of 10

    A single quench between two independent random Hamiltonians at the Thouless time generates unitary k-designs.

  2. Improved Approximations for Collective Neutrino Oscillations

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Second-order BBGKY truncation of an su(n) one-plus-two-body Hamiltonian approximates collective neutrino dynamics beyond mean field at polynomial classical cost and reveals large-N phase and entanglement structure.

  3. Krylov Complexity of Supersymmetric SYK Models

    hep-th 2025-11 conditional novelty 6.0 of 10

    In finite-size N=2 SYK, breaking supersymmetry with an irrelevant deformation pushes late-time Krylov complexity to roughly half the maximal Krylov-space bound, while a mass deformation leaves saturation complexity a ...

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