  Using the t-J Hamiltonian of U(1) slave-boson symmetry, bose condensation is
discussed by showing the occurrence of symmetry breaking in the hole doped high
$T_c$ cuprates. The symmetry breaking is shown to take place with the d-wave
hole pairing, but not with the s-wave hole pairing. Based on a derived
supersymmetry Hamiltonian we find that there exists a possibility of
supersymmetry conditions in association with the pairing order parameters of
both spinon and holon.
