Holographic dual of the 2dYSYK model

Determine whether a holographic AdS/CFT dual exists for the two-dimensional complex Yukawa–Sachdev–Ye–Kitaev (2dYSYK) model and, if so, construct the corresponding gravity theory that reproduces the model’s low-energy dynamics.

Background

The paper motivates strange metal behavior in cuprates via the two-dimensional complex Yukawa–Sachdev–Ye–Kitaev (2dYSYK) model, which extends SYK-inspired approaches to incorporate spatial structure and disorder relevant to the cuprates. While earlier holographic models used AdS2 black brane physics to capture aspects of strange metals, the 2dYSYK model provides a lattice-scale framework aligned with experimental observations of transport and optical conductivity.

Despite these advances, a direct holographic dual for 2dYSYK—which would unify SYK-like strange metal phenomenology with a gravity description—has not been established. The author explicitly flags this as an open question, indicating the potential for future theoretical progress connecting condensed matter models and holography.