  It is now well known that non-local observables in critical statistical
lattice models, polymers and percolation for example, may be modelled in the
continuum scaling limit by logarithmic conformal field theories. Fusion rules
for such theories, sometimes referred to as logarithmic minimal models, have
been intensively studied over the last ten years in order to explore the
representation-theoretic structures relevant to non-local observables.
Motivated by recent lattice conjectures, this work studies the fusion rules of
the $N=1$ supersymmetric analogues of these logarithmic minimal models in the
Neveu-Schwarz sector. Fusion rules involving Ramond representations will be
addressed in a sequel.
