  Following the approach of Callan and Thorlacius applied to the superstring,
we derive a supersymmetric extension of the non-local dissipative action of
Caldeira and Leggett. The dissipative term turns out to be invariant under a
group of superconformal transformations. When added to the usual kinetic term,
it provides an example of supersymmetric dissipative quantum mechanics. As a
by-product of our analysis, an intriguing connection to the homeotic/hybrid
fermion model, proposed for CPT violation in neutrinos, appears.
