  We discuss the phase diagnostics used in our finite-temperature study of an
SU(4) gauge theory with dynamical fermions in both the fundamental and
two-index antisymmetric representations. Beyond the usual Polyakov loop
diagnostics of confinement, we employ several Wilson flow phase diagnostics.
The first, what we call the "flow anisotropy", is known in the literature: the
deconfinement transition introduces anisotropy between the spatial and temporal
directions, to which the flow is extremely sensitive. The second, the "long
flow time Polyakov loop," is related but novel. While we do not claim to fully
understand this diagnostic, we have empirically found it to be useful as an
unusually sharp diagnostic of phase.

High Energy Physics - Lattice;High Energy Physics - Phenomenology