Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories

Understand

Three-dimensional theories with cubic symmetry are studied using the machinery of the numerical conformal bootstrap.

• Crossing symmetry and unitarity are imposed on a set of mixed correlators, and various aspects of the parameter space are probed for consistency.
• An isolated allowed region in parameter space is found under certain assumptions involving pushing operator dimensions above marginality, indicating the existence of a conformal field theory in this region.
• The obtained results have possible applications for ferromagnetic phase transitions as well as structural phase transitions in crystals.