March 29, 2026Journal of High Energy Physics0 citationsOpen Access
Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry
Key Points
- This research aims to explore the scaling limits of the Sachdev-Ye-Kitaev model with complex fermions and their holographic implications.
- Computed the fermion Green’s function for large N
- Calculated free energy in the limit of large p
- Examined the double-scaling limit with fixed λ = p²/N
- Resummed earlier results for small λ
- Described holographic match to Jackiw-Teitelboim gravity
- Found matching results for the large N limit and double-scaling limit at small λ
- Demonstrated the connection between the Sachdev-Ye-Kitaev model and Jackiw-Teitelboim gravity
- Established insights into interactions with a U(1) gauge field
Abstract
A bstract We compare different limits of the Sachdev-Ye-Kitaev model of N complex fermion with p -fermion interactions. First, we compute the fermion Green’s function and free energy in the limit of large N followed subsequently by the limit of large p . Next, we examine the ‘double-scaling’ limit in which the large N , p limits are taken at fixed λ = p 2 / N . Earlier results on the latter limit are resummed for small λ , and shown to match our results for the first limit. We also describe the holographic match of our results to two-dimensional Jackiw-Teitelboim gravity with an additional U(1) gauge field.