Baby universe operators in the ETH matrix model of double-scaled SYK
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929530822721536 |
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| author | Okuyama, Kazumi |
| author_facet | Okuyama, Kazumi |
| contents | We consider the baby universe operator $\mathcal{B}_a$ in the double-scaled SYK (DSSYK) model, which creates a baby universe of size $a$. We find that $\mathcal{B}_a$ is written in terms of the transfer matrix $T$, and vice versa. In particular, the identity operator on the chord Hilbert space is expanded as a linear combination of $\mathcal{B}_a$, which implies that the disk partition function of DSSYK is written as a linear combination of trumpets. We also find that the thermofield double state of DSSYK is generated by a pair of baby universe operators, which corresponds to a double trumpet. This can be thought of as a concrete realization of the idea of ER=EPR. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_03726 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Baby universe operators in the ETH matrix model of double-scaled SYK Okuyama, Kazumi High Energy Physics - Theory We consider the baby universe operator $\mathcal{B}_a$ in the double-scaled SYK (DSSYK) model, which creates a baby universe of size $a$. We find that $\mathcal{B}_a$ is written in terms of the transfer matrix $T$, and vice versa. In particular, the identity operator on the chord Hilbert space is expanded as a linear combination of $\mathcal{B}_a$, which implies that the disk partition function of DSSYK is written as a linear combination of trumpets. We also find that the thermofield double state of DSSYK is generated by a pair of baby universe operators, which corresponds to a double trumpet. This can be thought of as a concrete realization of the idea of ER=EPR. |
| title | Baby universe operators in the ETH matrix model of double-scaled SYK |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.03726 |