Abstract
A new class of constrained hamiltonian systems with a finite number of bosonic and fermionic degrees of freedom is proposed. Coordinates of these systems are divided into two groups of independent variables analogous to the left and right movers of the standard closed fermionic string theory. Hamiltonians are obtained by gauging some subgroups of the linear supercanonical transformations for the left and right variables. It is argued that some of the new models can be regarded as discrete analogs of the standard fermionic string theory. The extension of the models obtained by adding ghost variables is also constructed as a prerequisite to quantizing them.
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