  We propose a polariton-moir\'e coupled system to realize an exact solvable
model of strongly correlated superconductors. The polariton condensate induces
intervalley attraction between moir\'e electrons in quasi-flat topological
bands, leading to emergent SU(2) symmetry and exactly solutions of the
many-body ground state. This system expands the condensate-induced
superconductivity to the strong-correlation regime, enabling superconductivity
at elevated temperatures and allowing the study of non-Fermi liquid states with
a solvable, predictive model. It is promising as a versatile platform for
emulating unconventional superconductivity and other strongly correlated
phenomena in complex, correlated materials.
