Researchers are studying the mechanism of fluctuating pair density waves, with some findings related to superconductivity in various materials. The studies explore different models and materials, including the square lattice t-J model, kagome metal, and nickelates, with some focusing on the role of pair density waves in superconductivity. The research appears to be investigating the properties and behaviors of these materials, with some studies examining the presence or absence of certain orders, such as charge density wave order.