Input statement: XII-A and XI-B: carrier and free rule

The carrier is ${\mathcal{E}}_H=({\mathcal{F}}_{\mathrm{mc},\mathrm{pol}}[[\hslash ,\kappa ]],{\star }_H)/{\mathcal{N}}_{\mathrm{sol}}[[\hslash ,\kappa ]]$ with complete shell ${\mathcal{C}}_{\mathrm{sol}}=\{\square \gamma =0,P_m\varphi =0,\square c=\square \bar{c}=0,b=D\gamma \}$. The frozen free differential is $s_0\gamma =\mathcal{R}c$, $s_0\bar{c}=ib$, $s_0\varphi =s_{0}c=s_{0}b=0$, with $\mathcal{R}=K/2$; it is a nilpotent derivation of ${\star }_H$ descending to ${\mathcal{E}}_H$. The ghost normalization $c=2\xi$ recovers $K\xi$. The identities $A+2D^{\ast }D=-\square \mathcal{P}$, $\mathcal{P}{D}^{\ast }=-\mathcal{R}$, $DK=\square$, $A\mathcal{R}=0$ hold. Compact plateau residual parameters are zero: ${\mathfrak{g}}_W\cap \{\square \xi =0\}=\{0\}$ XIIA,XIB.