@article{bibcite_610, author = {Noel M. Lamsen and Youness Diouane and Gesualdo Delfino}, title = {Critical points in coupled Potts models and correlated percolation}, abstract = {We use scale invariant scattering theory to exactly determine the renormalization group fixed points of a q-state Potts model coupled to an r-state Potts model in two dimensions. For integer values of q and r the fixed point equations are very constraining and show in particular that scale invariance in coupled Potts ferromagnets is limited to the Ashkin-Teller case (q = r = 2). Since our results extend to continuous values of the number of states, we can access the limit r {\textrightarrow} 1 corresponding to correlated percolation, and show that the critical properties of Potts spin clusters cannot in general be obtained from those of Fortuin-Kasteleyn clusters by analytical continuation.}, year = {2023}, journal = {J. Stat. Mech. Theor. Exp.}, volume = {2023}, pages = {013203}, url = {https://iopscience.iop.org/article/10.1088/1742-5468/aca901}, doi = {10.1088/1742-5468/aca901}, }