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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| Language: | English |
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2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)249 |
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| author | Kazumi Okuyama |
| author_facet | Kazumi Okuyama |
| author_sort | Kazumi Okuyama |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b34b070d810a4ea6bde0d19dbf8a1c99 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b34b070d810a4ea6bde0d19dbf8a1c992024-12-08T12:12:48ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241011410.1007/JHEP10(2024)249Baby universe operators in the ETH matrix model of double-scaled SYKKazumi Okuyama0Department of Physics, Shinshu UniversityAbstract 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.https://doi.org/10.1007/JHEP10(2024)249AdS-CFT Correspondence2D GravityRandom Systems |
| spellingShingle | Kazumi Okuyama Baby universe operators in the ETH matrix model of double-scaled SYK Journal of High Energy Physics AdS-CFT Correspondence 2D Gravity Random Systems |
| title | Baby universe operators in the ETH matrix model of double-scaled SYK |
| title_full | Baby universe operators in the ETH matrix model of double-scaled SYK |
| title_fullStr | Baby universe operators in the ETH matrix model of double-scaled SYK |
| title_full_unstemmed | Baby universe operators in the ETH matrix model of double-scaled SYK |
| title_short | Baby universe operators in the ETH matrix model of double-scaled SYK |
| title_sort | baby universe operators in the eth matrix model of double scaled syk |
| topic | AdS-CFT Correspondence 2D Gravity Random Systems |
| url | https://doi.org/10.1007/JHEP10(2024)249 |
| work_keys_str_mv | AT kazumiokuyama babyuniverseoperatorsintheethmatrixmodelofdoublescaledsyk |