@article {658, title = {Critical points in the RPᴺ$^{-}${\textonesuperior} model}, journal = {J. Stat. Mech. Theor. Exp.}, volume = {2021}, year = {2021}, pages = {033214}, abstract = {The space of solutions of the exact renormalization group fixed point equations of the two-dimensional RPᴺ$^{-}${\textonesuperior} model, which we recently obtained within the scale invariant scattering framework, is explored for continuous values of N >= 0. Quasi-long-range order occurs only for N = 2, and allows for several lines of fixed points meeting at the Berezinskii-Kosterlitz-Thouless transition point. A rich pattern of fixed points is present below N* = 2.244 21. . , while only zero temperature criticality in the O(N(N + 1)/2 - 1) universality class can occur above this value. The interpretation of an extra solution at N = 3 requires the identification of a path to criticality specific to this value of N.}, doi = {10.1088/1742-5468/abe6fc}, url = {https://iopscience.iop.org/article/10.1088/1742-5468/abe6fc}, author = {Youness Diouane and Noel Lamsen and Gesualdo Delfino} }