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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.01177 |
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| _version_ | 1866917146387283968 |
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| author | Hosomichi, Kazuo Sato, Masayoshi |
| author_facet | Hosomichi, Kazuo Sato, Masayoshi |
| contents | The matter operator in the double-scaled SYK model exhibits special properties when its dimension is analytically continued to -1/2. At this dimension, the operator is in a degenerate representation of the q-deformed oscillator algebra and satisfies a null vector equation. Its peculiar fusion property gives rise to recursion relations among matter correlation functions. We find that these relations allow us to determine the two-point function without having to sum over infinitely many chord diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Degenerate chords in double-scaled SYK Hosomichi, Kazuo Sato, Masayoshi High Energy Physics - Theory The matter operator in the double-scaled SYK model exhibits special properties when its dimension is analytically continued to -1/2. At this dimension, the operator is in a degenerate representation of the q-deformed oscillator algebra and satisfies a null vector equation. Its peculiar fusion property gives rise to recursion relations among matter correlation functions. We find that these relations allow us to determine the two-point function without having to sum over infinitely many chord diagrams. |
| title | Degenerate chords in double-scaled SYK |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.01177 |