Dualities and Topological Classification of the S=1 Pyrochlore Spin Ice
The study derives dual descriptions of S=1 pyrochlore spin ice by mapping it onto 3D XY and Ising loop-gas models. This reveals the microscopic origins of its macroscopic phases and classifies them using geometric parity rules based on a global flux vector. The findings show that thermal monopoles round phase transitions into crossovers, providing a unified framework for understanding topological order in frustrated systems.