  The gradient flow equation is derived in four-dimensional N=1 supersymmetric
Yang-Mills theory in terms of the component field of the Wess-Zumino gauge. We
show that the flow-time derivative and supersymmetry transformation that is
naively extended to 4+1 dimensions by replacing the four-dimensional fields
with the corresponding flowed fields commute with each other up to a gauge
transformation. In this sense, the obtained flow is supersymmetric in the
Wess-Zumino gauge. We also discuss more about the symmetry of the flow
equation.
