Bootstrapping Fermionic R-operators with Decorated Yang--Baxter Equations
The paper develops a framework to classify one-dimensional integrable fermions into massless and massive regimes by requiring their R-operator to satisfy both the Yang-Baxter equation (YBE) and Shastry’s decorated YBE (DYBE). This method provides a general criterion for integrability, allowing the construction of R-matrices for both types of fermions through iterative procedures, linking simpler massless descriptions to more complex massive models.