Conformal bootstrap bounds for the $U(1)$ Dirac spin liquid and $N=7$ Stiefel liquid

Understand

We apply the conformal bootstrap technique to study the $U(1)$ Dirac spin liquid (i.e.

• $N_f=4$ QED$_3$) and the newly proposed $N=7$ Stiefel liquid (i.e.
• a conjectured 3d non-Lagrangian CFT without supersymmetry).
• For the $N_f=4$ QED$_3$, we focus on the monopole operator and ($SU(4)$ adjoint) fermion bilinear operator.