Abstract： We present a way to calculate the Witten index Δ for a class of l+l 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 2hФN 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.
YU Yangzheng;LIN Tingting. Evaluation of the Witten Index in 1+1 Dimensional Supersymmetric Models with O(N) Symmetry[J]. 中国物理快报, 1991, 8(4): 168-171.
YU Yangzheng, LIN Tingting. Evaluation of the Witten Index in 1+1 Dimensional Supersymmetric Models with O(N) Symmetry. Chin. Phys. Lett., 1991, 8(4): 168-171.
1991, Vol. 8 
