Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories

Three-dimensional theories with cubic symmetry are studied using themachinery of the numerical conformal bootstrap. Crossing symmetry and unitarityare imposed on a set of mixed correlators, and various aspects of the parameterspace are probed for consistency. An isolated allowed region in parameter spaceis found under certain assumptions involving pushing operator dimensions abovemarginality, indicating the existence of a conformal field theory in thisregion. The obtained results have possible applications for ferromagnetic phasetransitions as well as structural phase transitions in crystals. They are intension with previous $\varepsilon$ expansion results, as noticed already inearlier work.