A vanishing theorem for supersymmetric quantum field theory and finite size effects in multiphase cluster expansions |
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| Authors: | Steven A Janowsky Jonathan Weitsman |
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| Institution: | (1) Department of Mathematics, Rutgers University, 08903 New Brunswick, NJ, USA;(2) Department of Mathematics, University of California, 94720 Berkeley, CA, USA |
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| 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.Supported in part by National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship DMS 90-07206Supported in part by National Science Foundation Mathematical Sciences Postodoctoral Research Fellowship DmS 88-07291 |
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