Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference31 articles.
1. J.S. Cotler et al., Black Holes and Random Matrices, JHEP 05 (2017) 118 [Erratum ibid. 09 (2018) 002] [arXiv:1611.04650] [INSPIRE].
2. M. Berkooz, M. Isachenkov, V. Narovlansky and G. Torrents, Towards a full solution of the large N double-scaled SYK model, JHEP 03 (2019) 079 [arXiv:1811.02584] [INSPIRE].
3. H.W. Lin, The bulk Hilbert space of double scaled SYK, JHEP 11 (2022) 060 [arXiv:2208.07032] [INSPIRE].
4. D.L. Jafferis, D.K. Kolchmeyer, B. Mukhametzhanov and J. Sonner, JT gravity with matter, generalized ETH, and Random Matrices, arXiv:2209.02131 [INSPIRE].
5. G. Penington, S.H. Shenker, D. Stanford and Z. Yang, Replica wormholes and the black hole interior, JHEP 03 (2022) 205 [arXiv:1911.11977] [INSPIRE].
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献