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Sine-dilaton gravity vs double-scaled SYK : exploring one-loop quantum corrections

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Abstract
We provide non-trivial checks of the recently proposed duality between double-scaled SYK and a 2d dilaton gravity model with sine potential, studying the path integral at one-loop level. Specifically, we compute the logarithmic correction to the free energy of sine-dilaton gravity and, up to potential ordering ambiguities, we find a match with the corresponding quantity in double-scaled SYK. The computation relies on the description of sine-dilaton gravity in terms of a version of the q-Schwarzian theory, the quantum deformation of the standard Schwarzian model dual to JT gravity. A crucial aspect of the calculation is selecting the correct Hartle-Hawking vacuum for the gravitational theory, which implies a specific choice of boundary conditions for the one-loop determinant, computed using a generalization of the Gel'fand-Yaglom's theorem. We also evaluate the gravitational one-loop correction to the boundary to boundary propagator of a non-minimally coupled matter field in the bulk theory, showing a perfect agreement with the corresponding quantum correction of matter correlators in double-scaled SYK.
Keywords
2D Gravity, Models of Quantum Gravity, FUNCTIONAL DETERMINANTS, REGULARIZATION

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MLA
Bossi, Leonardo, et al. “Sine-Dilaton Gravity vs Double-Scaled SYK : Exploring One-Loop Quantum Corrections.” JOURNAL OF HIGH ENERGY PHYSICS, no. 6, 2025, doi:10.1007/JHEP06(2025)152.
APA
Bossi, L., Griguolo, L., Papalini, J., Russo, L., & Seminara, D. (2025). Sine-dilaton gravity vs double-scaled SYK : exploring one-loop quantum corrections. JOURNAL OF HIGH ENERGY PHYSICS, (6). https://doi.org/10.1007/JHEP06(2025)152
Chicago author-date
Bossi, Leonardo, Luca Griguolo, Jacopo Papalini, Lorenzo Russo, and Domenico Seminara. 2025. “Sine-Dilaton Gravity vs Double-Scaled SYK : Exploring One-Loop Quantum Corrections.” JOURNAL OF HIGH ENERGY PHYSICS, no. 6. https://doi.org/10.1007/JHEP06(2025)152.
Chicago author-date (all authors)
Bossi, Leonardo, Luca Griguolo, Jacopo Papalini, Lorenzo Russo, and Domenico Seminara. 2025. “Sine-Dilaton Gravity vs Double-Scaled SYK : Exploring One-Loop Quantum Corrections.” JOURNAL OF HIGH ENERGY PHYSICS (6). doi:10.1007/JHEP06(2025)152.
Vancouver
1.
Bossi L, Griguolo L, Papalini J, Russo L, Seminara D. Sine-dilaton gravity vs double-scaled SYK : exploring one-loop quantum corrections. JOURNAL OF HIGH ENERGY PHYSICS. 2025;(6).
IEEE
[1]
L. Bossi, L. Griguolo, J. Papalini, L. Russo, and D. Seminara, “Sine-dilaton gravity vs double-scaled SYK : exploring one-loop quantum corrections,” JOURNAL OF HIGH ENERGY PHYSICS, no. 6, 2025.
@article{01JYNQJ00PYH4F716E9TH09PKX,
  abstract     = {{We provide non-trivial checks of the recently proposed duality between double-scaled SYK and a 2d dilaton gravity model with sine potential, studying the path integral at one-loop level. Specifically, we compute the logarithmic correction to the free energy of sine-dilaton gravity and, up to potential ordering ambiguities, we find a match with the corresponding quantity in double-scaled SYK. The computation relies on the description of sine-dilaton gravity in terms of a version of the q-Schwarzian theory, the quantum deformation of the standard Schwarzian model dual to JT gravity. A crucial aspect of the calculation is selecting the correct Hartle-Hawking vacuum for the gravitational theory, which implies a specific choice of boundary conditions for the one-loop determinant, computed using a generalization of the Gel'fand-Yaglom's theorem. We also evaluate the gravitational one-loop correction to the boundary to boundary propagator of a non-minimally coupled matter field in the bulk theory, showing a perfect agreement with the corresponding quantum correction of matter correlators in double-scaled SYK.}},
  articleno    = {{152}},
  author       = {{Bossi, Leonardo and Griguolo, Luca and Papalini, Jacopo and Russo, Lorenzo and Seminara, Domenico}},
  issn         = {{1029-8479}},
  journal      = {{JOURNAL OF HIGH ENERGY PHYSICS}},
  keywords     = {{2D Gravity,Models of Quantum Gravity,FUNCTIONAL DETERMINANTS,REGULARIZATION}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{36}},
  title        = {{Sine-dilaton gravity vs double-scaled SYK : exploring one-loop quantum corrections}},
  url          = {{http://doi.org/10.1007/JHEP06(2025)152}},
  year         = {{2025}},
}

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