Abstract
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.
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Acknowledgments
This work was supported in part by JSPS Grant-in-Aid for Transformative Research Areas (A) “Extreme Universe” 21H05187 and JSPS KAKENHI Grant 22K03594.
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Okuyama, K. Doubled Hilbert space in double-scaled SYK. J. High Energ. Phys. 2024, 91 (2024). https://doi.org/10.1007/JHEP04(2024)091
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DOI: https://doi.org/10.1007/JHEP04(2024)091