Revisiting Brownian SYK and its possible relations to de Sitter
- Creators
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Milekhin, Alexey1
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Xu, Jiuci2
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1.
California Institute of Technology
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2.
University of California, Santa Barbara
Abstract
We revisit Brownian Sachdev-Ye-Kitaev model and argue that it has emergent energy conservation overlooked in the literature before. We solve this model in the double-scaled regime and demonstrate hyperfast scrambling, exponential decay of correlation functions, bounded spectrum and unexpected factorization of higher-point functions. We comment on how these results are related to de Sitter holography.
Copyright and License
© The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Article funded by SCOAP3.
Acknowledgement
We would like to thank Ying Zhao for the collaboration at the early stages and numerous illuminating discussions. We are grateful to Ahmed Almheiri, Elena Caceres, Xi Dong, Akash Goel, Alexander Gorsky, Alexei Kitaev, Igor Klebanov, Juan Maldacena, Donald Marolf, Emil Martinec, Mark Mezei, Vladimir Narovlansky, John Preskill, Edgar Shaghoulian, Thomas Schuster, Eva Silverstein for comments and Fedor Popov for discussions and feedback on the manuscript. AM also thanks Cory King for moral support.
AM acknowledges funding provided by the Simons Foundation, the DOE QuantISED program (DE-SC0018407), and the Air Force Office of Scientific Research (FA9550-19-1-0360). The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center. AM was also supported by the Simons Foundation under grant 376205. J.X. was on the MURI grant and was supported in part by the U.S. Department of Energy under Grant No. DE-SC0023275. This material is based upon work supported by the Air Force Office of Scientific Research under award number FA9550-19-1-0360.
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Additional details
- Simons Foundation
- 376205
- United States Department of Energy
- DE-SC0018407
- United States Air Force Office of Scientific Research
- FA9550-19-1-0360
- United States Department of Energy
- DE-SC0023275
- SCOAP3
- Accepted
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2024-09-26
- Available
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2024-10-22Published
- Caltech groups
- Institute for Quantum Information and Matter, Division of Physics, Mathematics and Astronomy (PMA)
- Publication Status
- Published