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We study a series of powerful correspondences among new multi-gravityextensions of the Jackiw-Teitelboim model, multi-SYK models andmulti-Schwarzian quantum mechanics, in the $\rm{(A)dS_{2}/CFT}$ arena.Deploying a $BF$-like formulation of the model, we discuss the counting of thedegrees of freedom for some specific classes of multi-gravity potentials, andunveil connections among a variety of apparently different models. Quantizationof multi-gravity models can be then achieved from both the Hartle-Hawkingno-boundary proposal, the SYK partition function and the spin-foam approaches.We comment on the SYK quantization procedure, and deepen in the appendix thequantization scheme naturally achieved in the $BF$ framework. The newmulti-gravity theory hence recovered presents intriguing applications foranalogue gravitational models developed for condensed matter physics, includinggraphene, endowed with defects and high intensity magnetic fields.

New Massive JT Multi-Gravity and N-Replica of SYK Models