Quantum group origins of edge states in double-scaled SYK
- Author
- Andreas Belaey (UGent) , Thomas Mertens (UGent) and Thomas Tappeiner (UGent)
- Organization
- Project
- Abstract
- Double-scaled SYK (DSSYK) is known to have an underlying quantum group theoretical description. We precisely pinpoint the quantum group structure, improving upon earlier work in the literature. This allows us to utilize this framework for bulk gravitational applications. We explain bulk discretization in DSSYK from the underlying irreducibility of the representations. We derive trumpet and brane amplitudes using character insertions of the quantum group, simplifying earlier calculations. Most importantly, we factorize the bulk Hilbert space dual to DSSYK in the quantum group description using a complete set of edge degrees of freedom living at a bulk entangling surface. An analogous treatment for \mathcal{N} = 1 DSSYK is provided in the same quantum group theoretical framework.
- Keywords
- 2D Gravity, Models of Quantum Gravity, Quantum Groups, REPRESENTATIONS, GRAVITY, MATRIX, MODELS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01KN43MWV7WKYZ6K2DFB2Z7NDB
- MLA
- Belaey, Andreas, et al. “Quantum Group Origins of Edge States in Double-Scaled SYK.” JOURNAL OF HIGH ENERGY PHYSICS, vol. 2026, no. 2, 2026, doi:10.1007/JHEP02(2026)184.
- APA
- Belaey, A., Mertens, T., & Tappeiner, T. (2026). Quantum group origins of edge states in double-scaled SYK. JOURNAL OF HIGH ENERGY PHYSICS, 2026(2). https://doi.org/10.1007/JHEP02(2026)184
- Chicago author-date
- Belaey, Andreas, Thomas Mertens, and Thomas Tappeiner. 2026. “Quantum Group Origins of Edge States in Double-Scaled SYK.” JOURNAL OF HIGH ENERGY PHYSICS 2026 (2). https://doi.org/10.1007/JHEP02(2026)184.
- Chicago author-date (all authors)
- Belaey, Andreas, Thomas Mertens, and Thomas Tappeiner. 2026. “Quantum Group Origins of Edge States in Double-Scaled SYK.” JOURNAL OF HIGH ENERGY PHYSICS 2026 (2). doi:10.1007/JHEP02(2026)184.
- Vancouver
- 1.Belaey A, Mertens T, Tappeiner T. Quantum group origins of edge states in double-scaled SYK. JOURNAL OF HIGH ENERGY PHYSICS. 2026;2026(2).
- IEEE
- [1]A. Belaey, T. Mertens, and T. Tappeiner, “Quantum group origins of edge states in double-scaled SYK,” JOURNAL OF HIGH ENERGY PHYSICS, vol. 2026, no. 2, 2026.
@article{01KN43MWV7WKYZ6K2DFB2Z7NDB,
abstract = {{Double-scaled SYK (DSSYK) is known to have an underlying quantum group theoretical description. We precisely pinpoint the quantum group structure, improving upon earlier work in the literature. This allows us to utilize this framework for bulk gravitational applications. We explain bulk discretization in DSSYK from the underlying irreducibility of the representations. We derive trumpet and brane amplitudes using character insertions of the quantum group, simplifying earlier calculations. Most importantly, we factorize the bulk Hilbert space dual to DSSYK in the quantum group description using a complete set of edge degrees of freedom living at a bulk entangling surface. An analogous treatment for \mathcal{N} = 1 DSSYK is provided in the same quantum group theoretical framework.}},
articleno = {{184}},
author = {{Belaey, Andreas and Mertens, Thomas and Tappeiner, Thomas}},
issn = {{1029-8479}},
journal = {{JOURNAL OF HIGH ENERGY PHYSICS}},
keywords = {{2D Gravity,Models of Quantum Gravity,Quantum Groups,REPRESENTATIONS,GRAVITY,MATRIX,MODELS}},
language = {{eng}},
number = {{2}},
pages = {{56}},
title = {{Quantum group origins of edge states in double-scaled SYK}},
url = {{http://doi.org/10.1007/JHEP02(2026)184}},
volume = {{2026}},
year = {{2026}},
}
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