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Higher Dimensional Generalizations of the SYK Model

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arxiv 1610.02422 v2 pith:OM7S6YFA submitted 2016-10-07 hep-th cond-mat.str-el

Micha Berkooz , Prithvi Narayan , Moshe Rozali , Joan Simón This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords modelbehaviordimensionaldiscussenergyexhibitfermionsgeneralizations
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abstract

We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains $N$ Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum fermions of definite chirality within each lattice site. This gives rise to an ordinary 1+1 field theory above some energy scale and a low energy SYK-like behavior. We exhibit a class of low-pass filters which give rise to a rich variety of hyperscaling behaviour in the IR. We also discuss another set of generalizations which describes probing an SYK system with an external fermion, together with the new scaling behavior they exhibit in the IR.

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Cited by 4 Pith papers

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

  1. The two-dimensional disordered $O(N)$ sigma model

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    A 2D disordered O(N) sigma model at large N exhibits a low-temperature spin glass phase with finite Edwards-Anderson parameter and approximate scaling in the dynamical two-point function.

  2. $E$ and $J$ type $\mathcal{N}=(0,2)$ disordered models and higher-spin symmetry

    hep-th 2026-01 conditional novelty 6.0 of 10

    The E-type N=(0,2) disordered model is dynamically equivalent to the J-type model in the IR, inheriting its emergent higher-spin symmetry.

  3. Entanglement production in the Sachdev-Ye-Kitaev Model and its variants

    quant-ph 2025-07 conditional novelty 6.0 of 10

    Entanglement production rates distinguish the spin-SYK model from fermionic SYK and binary SYK, and the differences only become visible at larger system sizes.

  4. Information scrambling in all-to-all interacting models

    quant-ph 2026-06 unverdicted novelty 4.0 of 10

    Numerical study of the SYK-q spin model finds rapid entanglement growth to Haar-random saturation, a universal Rényi-1/2 mutual information vs negativity relation at minimal q, and Page-curve behavior in negativity un...

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