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<p>We compare different limits of the Sachdev-Ye-Kitaev model of <i>N</i> complex fermion with <i>p</i>-fermion interactions. First, we compute the fermion Green’s function and free energy in the limit of large <i>N</i> followed subsequently by the limit of large <i>p</i>. Next, we examine the ‘double-scaling’ limit in which the large <i>N</i>, <i>p</i> limits are taken at fixed <i>λ</i> = <i>p</i><sup>2</sup>/<i>N</i>. Earlier results on the latter limit are resummed for small <i>λ</i>, and shown to match our results for the first limit. We also describe the holographic match of our results to two-dimensional Jackiw-Teitelboim gravity with an additional U(1) gauge field.</p>

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Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月26日

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  • Elena Gubankova,
  • Subir Sachdev,
  • Grigory Tarnopolsky

摘要

We compare different limits of the Sachdev-Ye-Kitaev model of N complex fermion with p-fermion interactions. First, we compute the fermion Green’s function and free energy in the limit of large N followed subsequently by the limit of large p. Next, we examine the ‘double-scaling’ limit in which the large N, p limits are taken at fixed λ = p2/N. Earlier results on the latter limit are resummed for small λ, and shown to match our results for the first limit. We also describe the holographic match of our results to two-dimensional Jackiw-Teitelboim gravity with an additional U(1) gauge field.