Work

Baby universe operators in the ETH matrix model of double-scaled SYK

Year: 2024
Type: article
Abstract: A bstract We consider the baby universe operator $$ {\mathcal{B}}_a $$ B a in the double-scaled SYK (DSSYK) model, which creates a baby universe of size a . We find that $$ {\mathcal{B}}_a $$ 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 $$ {\mathcal{B}}_a $$ 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.
Institution: Shinshu University
Language: English
Open Access status: diamond
OpenAlex ID: W4403941383
FWCI: 0.576
Cites: 20
Cited by: 8
Related to: 10