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End of the world brane in double scaled SYK
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abstract
We study the end of the world (EOW) brane in double scaled SYK (DSSYK) model. We find that the boundary state of EOW brane is a coherent state of the $q$-deformed oscillators and the associated orthogonal polynomial is the continuous big $q$-Hermite polynomial. In a certain scaling limit, the big $q$-Hermite polynomial reduces to the Whittaker function, which reproduces the wavefunction of JT gravity with an EOW brane. We also compute the half-wormhole amplitude in DSSYK and show that the amplitude is decomposed into the trumpet and the factor coming from the EOW brane.
Forward citations
Cited by 2 Pith papers
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de Sitter JT gravity from double-scaled SYK
The upper edge of the DSSYK spectrum, in a triple scaling limit, exactly reproduces the matrix model of two-dimensional de Sitter JT gravity.
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Non-perturbative corrections in the semi-classical limit of double-scaled SYK
Non-perturbative corrections in the small-coupling limit of the double-scaled SYK partition function are resummed into a cubic power of the Dedekind eta function, in both the low-energy and low-temperature limits.
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