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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | https://arxiv.org/abs/2409.06663 |
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| _version_ | 1866913496068784128 |
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| author | Vegh, David |
| author_facet | Vegh, David |
| contents | In two-dimensional flat space, the oscillatory motion of a closed folded string--or alternatively, two massless particles connected by a string--can be quantized using the 't Hooft equation. This paper presents an alternative method for quantizing the folded string in anti-de Sitter space. By using variables inspired by integrability, setting $g \equiv {(R_\text{AdS})^2 \over 2πα'}$ to a specific p-dependent $\mathcal{O}(1)$ value, and applying a particular boundary condition to the antisymmetrized wavefunction, we obtain a spectrum that precisely matches that of fermion bilinear operators in the disorder-averaged Sachdev-Ye-Kitaev model with p-fermion interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06663 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantizing the folded string in AdS$_2$ Vegh, David High Energy Physics - Theory In two-dimensional flat space, the oscillatory motion of a closed folded string--or alternatively, two massless particles connected by a string--can be quantized using the 't Hooft equation. This paper presents an alternative method for quantizing the folded string in anti-de Sitter space. By using variables inspired by integrability, setting $g \equiv {(R_\text{AdS})^2 \over 2πα'}$ to a specific p-dependent $\mathcal{O}(1)$ value, and applying a particular boundary condition to the antisymmetrized wavefunction, we obtain a spectrum that precisely matches that of fermion bilinear operators in the disorder-averaged Sachdev-Ye-Kitaev model with p-fermion interactions. |
| title | Quantizing the folded string in AdS$_2$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.06663 |