  I propose a general form for the boundary coupling of B-type topological
Landau-Ginzburg models. In particular, I show that the relevant background in
the open string sector is a (generally non-Abelian) superconnection of type
(0,1) living in a complex superbundle defined on the target space, which I
allow to be a non-compact Calabi-Yau manifold. This extends and clarifies
previous proposals. Generalizing an argument due to Witten, I show that BRST
invariance of the partition function on the worldsheet amounts to the condition
that the (0,<= 2) part of the superconnection's curvature equals a constant
endomorphism plus the Landau-Ginzburg potential times the identity section of
the underlying superbundle. This provides the target space equations of motion
for the open topological model.
