Conformally invariant boundary conditions in the antiferromagnetic Potts model and the $SL(2,\mathbb{R})/U(1)$ sigma model

Niall F. Robertson, Jesper Lykke Jacobsen, Hubert Saleur

We initiate a study of the boundary version of the square-lattice $Q$-state Potts antiferromagnet, with $Q\in [0,4]$ real, motivated by the fact that the continuum limit of the co…