Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry
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| Format: | Preprint |
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2025
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| _version_ | 1866918413440385024 |
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| author | Gubankova, Elena Sachdev, Subir Tarnopolsky, Grigory |
| author_facet | Gubankova, Elena Sachdev, Subir Tarnopolsky, Grigory |
| contents | 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 $λ= p^2/N$. 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_05294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry Gubankova, Elena Sachdev, Subir Tarnopolsky, Grigory High Energy Physics - Theory Strongly Correlated Electrons 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 $λ= p^2/N$. 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. |
| title | Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.05294 |