  Recently $SU(2)$ Yang-Mills theory with one massless adjoint Dirac quark
flavor emerges as a novel critical theory that can describe the evolution
between a trivial insulator and a topological insulator in AIII class in $3+1$
dimensions. There are several classes of conjectured infrared dynamics for this
theory. One possibility is that the theory undergoes spontaneous chiral
symmetry breaking, with two massless Goldstone bosons (the scalar diquark and
its antiparticle) in the infrared. Another scenario, which is suggested by
previous lattice studies by Athenodorou et al., is that the IR sector of the
theory is a strongly interacting conformal field theory as the quark mass
vanishes. The most recent theoretical proposals argue for a case that in the
infrared a composite fermion composed of two quarks and an antiquark becomes
massless and non-interacting as the quark mass goes to zero, while other
sectors are decoupled from this low-energy fermion. This work expands upon
previous studies by including the composite fermion to investigate which of
these three potential scenarios captures the infrared behavior of this theory.
