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A<sc>bstract</sc> We argue that at finite energies, double-scaled SYK has a semiclassical approximation controlled by a couplingλin which all observables are governed by a non-trivial saddle point. The Liouville description of double-scaled SYK suggests that the correlation functions define a geometry in a two-dimensional bulk, with the 2-point function describing the metric. For small coupling, the fluctuations are highly suppressed, and the bulk describes a rigid (A)dS spacetime. As the coupling increases, the fluctuations become stronger. We study the correction to the curvature of the bulk geometry induced by these fluctuations. We find that as we go deeper into the bulk the curvature increases and that the theory eventually becomes strongly coupled. In general, the curvature is related to energy fluctuations in light operators. We also compute the entanglement entropy of partially entangled thermal states in the semiclassical limit.
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This content will become publicly available on June 1, 2026
SYK-Schur duality: double scaled SYK correlators from $$ \mathcal{N} $$ = 2 supersymmetric gauge theory
A<sc>bstract</sc> We propose a triality relating the Double-Scaled SYK model, SL(2,ℂ) Chern-Simons theory on a disk with an irregular singularity at the center and the outcome of “real Schur quantization” applied to SU(2) Seiberg-Witten theory with Neumann boundary conditions. We give supporting evidence for our conjecture by establishing a precise match between a general class of correlators in all three systems.
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- Award ID(s):
- 2209997
- PAR ID:
- 10644287
- Publisher / Repository:
- Springer
- Date Published:
- Journal Name:
- Journal of High Energy Physics
- Volume:
- 2025
- Issue:
- 6
- ISSN:
- 1029-8479
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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