Finite-cutoff geometry from double-scaled SYK

We develop a finite-cutoff holographic description of the double-scaled SYK (DSSYK) model. We construct microscopic deformations of Kourkoulou-Maldacena and thermofield-double SYK states whose double-scaling limits reproduce a lower-dimensional analogue of $\text{T}\overline{\text{T}}$ and $\text{T}