  The space of broken hyperbolic structures generalizes the Teichm\"uller space
of a punctured surface, and the space of projectivized broken measured
foliations (equivalently, the space of projectivized affine foliations)
generalizes the space of projectivized measured foliations. Just as
projectivized measured foliations provide Thurston's boundary for Teichm\"uller
space, so too do projectivized broken measured foliations form a boundary for
the space of broken hyperbolic structures. In this paper, we naturally extend
the Weil-Petersson K\"ahler two-form and the Thurston symplectic form to their
broken analogues and prove that the former suitably limits to the latter. The
proof in sketch follows earlier work of the authors for measured foliations and
depends upon techniques from decorated Teichm\"uller theory, which is also
applied here to a further study of broken hyperbolic structures.
