Canonical exterior formalism on group manifold for (1+1)-dimensional supergravity

The main features of the different linear gravity theories are reviewed. In particular, the supersymmetric extension of the JackiwTeitelboim (1 + 1) linear gravity is considered in detail within the canonical exterior formalism. In this context the role of the several fields are analyzed. The constraints and the field equation are found. Finally, this supergravity model is treated in the second order formalism.