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I point out that Gross-Neveu theory with SO(3) isospin in three spacetimedimensions - proposed recently, for instance, as an effective description ofthe N\'eel transition in certain spin-orbital liquids - also hosts quantumcriticality of a more exotic kind. The ordered phase breaks SO(3)spontaneously, but the SO(3)-N\'eel order parameter vanishes. The fermionicbilinear order parameter is instead a biadjoint with respect to SO(3); unlikeits N\'eel cousin, it constitutes a Mott insulator. Furthermore, I show thatthe N\'eel and biadjoint order parameters can be combined to transform as anadjoint under SU(3) symmetry; the symmetry is emergent at the critical pointseparating the symmetric semimetal and the biadjoint insulator, but only if theflavor number is small enough, suggesting order-parameter fluctuations and theinterplay between different channels play a crucial role in stabilizing theenlarged symmetry. In candidate SO(3) spin-orbital liqiuds, thermodynamiccritical exponents carry fingerprints of "spinons". The existence of anindependent universality class in addition to the N\'eel transition opens thepossibility of posing further constraints on spinon properties fromthermodynamic measurements near criticality alone.

Unconventional Gross-Neveu quantum criticality: SO(3)-biadjoint Mott insulator and emergent SU(3) symmetry