End of the world brane in double scaled SYK

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Publication:6050354

DOI10.1007/JHEP08(2023)053arXiv2305.12674OpenAlexW4385752992MaRDI QIDQ6050354

Author name not available (Why is that?)

Publication date: 12 October 2023

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/2305.12674



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