Gauging the complex SYK model
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912637000876032 |
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| author | Zhang, Ziruo Peng, Cheng |
| author_facet | Zhang, Ziruo Peng, Cheng |
| contents | Motivated by SYK-like models describing near-BPS black holes in string/M-theory, we consider gauging the U$(1)$ symmetry of the complex SYK model in the presence of a Wilson line with charge $k$. At a fixed background gauge field, solutions to the Schwinger-Dyson equations display vastly different properties from those at a fixed real chemical potential. In the partition function and the two-point function, the integral over the gauge field is performed either directly or via a large $N$ saddle point approximation, and both results are consistent with exact diagonalization data. From the behaviour of the two-point function at large $N$, we deduce that the conformal symmetry at low energies is preserved at fixed $κ= k/N = 0$, but broken at $κ\neq 0$. In addition, we find that there is maximal chaos for all $k$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18595 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gauging the complex SYK model Zhang, Ziruo Peng, Cheng High Energy Physics - Theory Strongly Correlated Electrons Motivated by SYK-like models describing near-BPS black holes in string/M-theory, we consider gauging the U$(1)$ symmetry of the complex SYK model in the presence of a Wilson line with charge $k$. At a fixed background gauge field, solutions to the Schwinger-Dyson equations display vastly different properties from those at a fixed real chemical potential. In the partition function and the two-point function, the integral over the gauge field is performed either directly or via a large $N$ saddle point approximation, and both results are consistent with exact diagonalization data. From the behaviour of the two-point function at large $N$, we deduce that the conformal symmetry at low energies is preserved at fixed $κ= k/N = 0$, but broken at $κ\neq 0$. In addition, we find that there is maximal chaos for all $k$. |
| title | Gauging the complex SYK model |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2502.18595 |