  In this paper we will discuss the effect of a having a boundary on the
supersymmetric invariance and gauge invariance of the Bagger-Lambert-Gustavsson
(BLG) Theory. We will show that even though the supersymmetry and gauge
invariance of the original BLG theory is broken due to the presence of a
boundary, it restored by the addition of suitable boundary terms. In fact, to
achieve the gauge invariance of this theory, we will have to introduce new
boundary degrees of freedom. The boundary theory obeyed by these new boundary
degrees of freedom will be shown to be a generalization of the gauged
Wess-Zumino-Witten model, with the generators of the Lie algebra replaced by
the generators of the Lie 3-algebra. The gauge and supersymmetry variations of
the boundary theory will exactly cancel the boundary terms generated by the
gauge and supersymmetric variations of the bulk theory.
