(Harmonicity) In the region (4.14) inside $\mathbb{R}^{2}_{y_{1},y_{2}}\times\mathbb{R}_{\mu}$ the functions $\bar{\gamma}_{i}$ satisfy $\Delta_{a}^{\prime}\bar{\gamma}_{i}=0$, or equivalently their pullbacks to $(\mathbb{C}^{*})^{2}_{\eta_{1},\eta_{2}}\times\mathbb{R}_{\mu}$ satisfy $\Delta_{a}\bar{\gamma}_{i}=0$.