The extended action and its antibracket square

Every term of ${\mathcal{K}}_{\nu }$ carries $1-g$, $\partial g$, $w={\sigma }_{\epsilon }-1$, $\partial {\sigma }_{\epsilon }$, or ${\partial }^2{\sigma }_{\epsilon }$. The term $w{Q}_{\nu }(A\gamma )$ is the bulk breaking from weighting only the cubic coefficient; it is not a ramp-derivative term, and it is not removed by setting ramp derivatives to zero. It is removed only where ${\sigma }_{\epsilon }=1$.