  We introduce the super-Toda system on Riemann surfaces and study the blow-up
analysis for a sequence of solutions to the super-Toda system on a closed
Riemann surface with uniformly bounded energy. In particular, we show the
energy identities for the spinor parts of a blow-up sequence of solutions for
which there are possibly four types of bubbling solutions, namely, finite
energy solutions of the super-Liouville equation or the super-Toda system
defined on $\R^2$ or on $\R^2\setminus\{0\}$. This is achieved by showing some
new energy gap results for the spinor parts of these four types of bubbling
solutions.
