Abstract
We apply cluster expansion methods to to theN=2 Wess-Zumino models in finite volume, in two space-time dimensions. We show that in the region of convergence of the cluster expansion, a vanishing theorem holds for the supercharge of the theory; that is, the dimension of the kernel of the Hamiltonian is equal to the index of the supercharge.
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Communicated by A. Jaffe
Supported in part by National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship DMS 90-07206
Supported in part by National Science Foundation Mathematical Sciences Postodoctoral Research Fellowship DmS 88-07291
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Janowsky, S.A., Weitsman, J. A vanishing theorem for supersymmetric quantum field theory and finite size effects in multiphase cluster expansions. Commun.Math. Phys. 143, 85–97 (1991). https://doi.org/10.1007/BF02100286
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DOI: https://doi.org/10.1007/BF02100286