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In cavity quantum electrodynamics (cavity QED) systems, the realization of strong coupling between light and atoms plays a critical role in the study of quantum optics and entanglement. At the same time, Rydberg atom arrays provide a promising platform for exploring quantum many-body physics. However, with the Rydberg-mediated interactions, atoms mainly interact locally. Coupling Rydberg arrays to a cavity opens up new research directions in quantum many-body physics with long-range interactions, creating a fully connected quantum network. Here, we introduce a new high-finesse cavity designed for Rydberg arrays. The cavity setup has a state-of-the-art single-atom cooperativity and will allow more than 50 atoms in the array. In addition, this platform enables the creation of the Rydberg superatom, an ensemble of atoms acting as a two-level system. We expect to increase the single-atom cooperativity by 2 or 3 orders of magnitude with a superatom coupled to the high-finesse cavity. I will present the potential applications using this new setup.