Materializing Superghosts

We construct the off-shell Batalin-Vilkovysky (BV) realization of $\mathcal N=1$, $d=10$ Super-Yang-Milk (SYM) with 7 auxillary fields. This becomes possible due to materialized ghost phenomenon. Namely, supersymmetry ghosts are coordinates on a manifold $B$ of 10-dimensional spinors with pure spinors cut out. Auxillary fields are sections of a bundle over $B$, and supersymmetry transformations are nonlinear in ghosts. By integrating out axillary fields we obtain on-shell supersymmetric BV action with terms quadratic in antifields. Exactly this on-shell BV action was obtained in our previous paper after integration out of auxiliary fields in the framework of Pure Spinor Superfield Formalism.