Abstract
We present a way to calculate the Witten index Δ for a class of 1+1 dimensional supersymmetric (SUSY) models with O(N) symmetry. Since Δ is invariant under an adiabatic change of parameters, an O(N) non-invariant but SUSY term 2hφN is added to the Lagrangian, therefore the degeneracy of zero-energy states due to O(N) symmetry is removed. It is shown that SUSY breaking can occur for the SUSY O(N) Wess-Zumino model.
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