Speaker
Matthew Mitchell
Description
We perform a systematic classification of QFTs that contain Dirac fermions coupled to scalars, and that exhibit perturbative fixed points in the 4-ε expansion. These theories, which arise as quantum critical points of fermionic materials with scalar order parameters, exhibit nontrivial symmetry enhancements in 2+1 dimensions because Dirac spinors factorize to Majorana spinors. Our classification includes the Gross--Neveu--Yukawa, chiral Ising, chiral XY, and chiral Heisenberg CFTs, as well as two new theories which are not well-characterized. We then present numerical bootstrap bounds on the scaling dimensions of these CFTs for various N_f, which we compare to perturbative results.