  We show that in automatically R-conserving minimal SUSY left-right symmetric
models there is a theoretical upper limit on the mass of the right-handed $W_R$
boson given by $M_{W_R}\leq g M_{SUSY}/f$, where $M_{SUSY}$ is the scale of
supersymmetry breaking, g is the weak gauge coupling and $f$ is the Yukawa
coupling responsible for generating the right-handed neutrino masses. If
$M_{W_R}$ violates the above limit, the ground state of the theory breaks
electromagnetism. The only way to avoid this bound while keeping the theory
automatically R-conserving is to expand the theory to include very specific
kinds of additional multiplets and demanding unnatural finetuning of their
couplings.
