Bootstrapping MN and Tetragonal CFTs in Three Dimensions

Understand

Conformal field theories (CFTs) with MN and tetragonal global symmetry in $d=2+1$ dimensions are relevant for structural, antiferromagnetic and helimagnetic phase transitions in a wide class of materials.

• The study of these theories with the nonperturbative numerical conformal bootstrap is initiated in this work.
• Bounds for operator dimensions are obtained and they are found to possess sharp kinks in the MN case, suggesting the existence of full-fledged CFTs.
• In the tetragonal case, no new kinks are found.