Jiuci Xu

My research explores fundamental aspects of theoretical physics through solvable models of lower-dimensional gravity, including Jackiw–Teitelboim gravity, the Sachdev-Ye-Kitaev model, and gravitational algebras. Using analytical and algebraic techniques, I aim to deepen our understanding of emergent space-time, quantum causality, and quantum chaos in holography. A key aspect of my research has been the rigorous proof that the double-scaled algebra in DSSYK forms a Type II_1 von Neumann algebra, confirming a conjecture linked to its proposed de Sitter dual. Since observables in static patch of dS also form a Type II_1 algebra, this result provides a precise mathematical framework for emergent physics in the scaling limit, clarifying how observables in solvable models resemble those in gravitational theories.

[1] Alexey Milekhin and Jiuci Xu. Revisiting Brownian SYK and its possible relations to de Sitter. 12 2023.
[2] Alexey Milekhin and Jiuci Xu. On scrambling, tomperature and superdiffusion in de Sitter space. 3 2024.
[3] Chih-Hung Wu and Jiuci Xu. Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporation. Journal of High Energy Physics, 2023(10), October 2023.
[4] Jiuci Xu. Von neumann algebras in double-scaled syk, 2024.
[5] Jiuci Xu. On chord dynamics and complexity growth in double-scaled syk, 2024.