Baby universe operators in the ETH matrix model of double-scaled SYK
Abstract We consider the baby universe operator B a $$ {\mathcal{B}}_a $$ in the double-scaled SYK (DSSYK) model, which creates a baby universe of size a. We find that B a $$ {\mathcal{B}}_a $$ is written in terms of the transfer matrix T, and vice versa. In particular, the identity operator on the...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2024)249 |
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| Summary: | Abstract We consider the baby universe operator B a $$ {\mathcal{B}}_a $$ in the double-scaled SYK (DSSYK) model, which creates a baby universe of size a. We find that B a $$ {\mathcal{B}}_a $$ 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 B a $$ {\mathcal{B}}_a $$ , 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. |
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| ISSN: | 1029-8479 |