  In this work we investigate the supersymmetric version of the valence bond
solid (SVBS) state. In one dimension, the SVBS states continuously interpolate
between the valence bond states for integer and half-integer spin chains, and
they generally describe superconducting valence bond liquid states. Spin and
superconducting correlation functions can be computed exactly for these states,
and their correlation lengths are equal at the supersymmetric point. In higher
dimensions, the wave function for the SVBS states can describe resonating
valence bond states (RVB). The SVBS states for the spin models are shown to be
precisely analogous to the bosonic Pfaffian states of the quantum Hall effect.
We also give microscopic Hamiltonians for which the SVBS state is the exact
ground state.
