  We construct a new giant graviton solution on the recently constructed
pp-wave geometry of the non-supersymmetric Schrodinger background. That
solution exhibits an intriguing behavior as the deformation parameter of the
spacetime varies. Firstly, the degeneracy between the giant and the point
graviton is lifted for the benefit of the giant graviton as soon as the
deformation is turned on. Secondly, when the deformation parameter exceeds a
critical value the barrier separating the point from the giant graviton
disappears. This suggests that the mere presence of a D3-brane leads to the
spontaneous breaking of conformal invariance. We perform a detailed analysis of
the full bosonic spectrum, which reveals that the deformation induces a
coupling between the scalar and the gauge field fluctuations. It is exactly
this coupling that keeps the giant graviton free of tachyonic instabilities.
Furthermore, the giant graviton configuration completely breaks the
supersymmetry of the pp-wave background, as the Kappa-symmetry analysis
suggests.
