More on doubled Hilbert space in double-scaled SYK
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911826529222656 |
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| author | Okuyama, Kazumi |
| author_facet | Okuyama, Kazumi |
| contents | We continue our study of the doubled Hilbert space formalism of double-scaled SYK model initiated in [arXiv:2401.07403]. We show that the 1-particle Hilbert space introduced by Lin and Stanford in [arXiv:2307.15725] is related to the doubled Hilbert space $\mathcal{H}_0\otimes \mathcal{H}_0$ of the 0-particle Hilbert space $\mathcal{H}_0$ by some linear isomorphism $\mathcal{C}$. It turns out that the entangler and disentangler appeared in our previous study are given by the dual (or adjoint) of $\mathcal{C}^{-1}$ and $\mathcal{C}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02833 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | More on doubled Hilbert space in double-scaled SYK Okuyama, Kazumi High Energy Physics - Theory We continue our study of the doubled Hilbert space formalism of double-scaled SYK model initiated in [arXiv:2401.07403]. We show that the 1-particle Hilbert space introduced by Lin and Stanford in [arXiv:2307.15725] is related to the doubled Hilbert space $\mathcal{H}_0\otimes \mathcal{H}_0$ of the 0-particle Hilbert space $\mathcal{H}_0$ by some linear isomorphism $\mathcal{C}$. It turns out that the entangler and disentangler appeared in our previous study are given by the dual (or adjoint) of $\mathcal{C}^{-1}$ and $\mathcal{C}$. |
| title | More on doubled Hilbert space in double-scaled SYK |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.02833 |