It is well known that the moduli space of all deformations of a compact
special Lagrangian submanifold X in a Calabi-Yau manifold Y within the
class of special Lagrangian submanifolds is isomorphic to the first de Rham
cohomology group of X. Reinterpreting the embedding data X⊂Y within
the mathematical framework of the Batalin-Vilkovisky quantization, we find a
natural deformation problem which extends the above moduli space to the full de
Rham cohomology group of X.Comment: 15pages. A new citation and a correctio