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A new class of SYK-like models with maximal chaos

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arxiv 1808.01190 v2 pith:LOYJULLD submitted 2018-08-03 hep-th

Eric Marcus , Stefan Vandoren This is my paper · ORCID
classification hep-th
keywords modelbrancheschaosmaximalratiosupersymmetricauxiliarybosons
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abstract

We investigate a model closely related to both the original Sachdev-Ye-Kitaev (SYK) model and the $\mathcal{N}=1$ supersymmetric SYK model. It consists of $N$ real Majorana fermions and $M$ auxiliary bosons with Yukawa interactions. We consider the large $N$ and $M$ limit and keep the ratio $M/N$ fixed. The model has two branches characterized by the conformal dimensions of fields, which we compute as a function of the ratio $M/N$. One of the branches contains the supersymmetric saddle for $M=N$. Furthermore, we determine the Lyapunov exponent of the model and find maximal chaos independent of $M/N$.

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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. $F$-extremization determines certain large-$N$ CFTs

    hep-th 2024-12 conditional novelty 7.0 of 10

    Melonic large-N CFTs are exactly the conformal mean field theories that extremize the universal part of the sphere free energy under linear IR marginality constraints.

  2. Thermal two-point functions in SYK and complex-time singularities

    hep-th 2026-07 conditional novelty 6.0 of 10

    The large-N SYK thermal two-point function exhibits complex-time singularities—an effective-temperature pole and a subleading bouncing-geodesic-like singularity—that persist from infinite to zero temperature.

  3. Fractionalized Fermi liquids and the cuprate phase diagram

    cond-mat.str-el 2025-08 unverdicted novelty 3.0 of 10

    Reviews the FL* theory for cuprates using ancilla layer models and SU(2) gauge theories to explain pseudogap hole pockets of area p/8, Fermi arcs, and transitions to d-wave superconductivity and Fermi liquid behavior.

  4. The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions

    cond-mat.str-el 2025-01 conditional novelty 3.0 of 10

    The paper attributes the cuprate 'foot' to a disordered spin-density-wave transition and the 'fan' to a disorder-tuned FL-to-FL* Fermi-volume-changing transition described by a two-dimensional Yukawa-SYK model.

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