Doubled Hilbert space in double-scaled SYK
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916091585888256 |
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| author | Okuyama, Kazumi |
| author_facet | Okuyama, Kazumi |
| contents | We consider matter correlators in the double-scaled SYK (DSSYK) model. It turns out that matter correlators have a simple expression in terms of the doubled Hilbert space $\mathcal{H}\otimes\mathcal{H}$, where $\mathcal{H}$ is the Fock space of $q$-deformed oscillator (also known as the chord Hilbert space). In this formalism, we find that the operator which counts the intersection of chords should be conjugated by certain ``entangler'' and ``disentangler''. We explicitly demonstrate this structure for the two- and four-point functions of matter operators in DSSYK. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07403 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Doubled Hilbert space in double-scaled SYK Okuyama, Kazumi High Energy Physics - Theory We consider matter correlators in the double-scaled SYK (DSSYK) model. It turns out that matter correlators have a simple expression in terms of the doubled Hilbert space $\mathcal{H}\otimes\mathcal{H}$, where $\mathcal{H}$ is the Fock space of $q$-deformed oscillator (also known as the chord Hilbert space). In this formalism, we find that the operator which counts the intersection of chords should be conjugated by certain ``entangler'' and ``disentangler''. We explicitly demonstrate this structure for the two- and four-point functions of matter operators in DSSYK. |
| title | Doubled Hilbert space in double-scaled SYK |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.07403 |