Supersymmetry,vacuum statistics,and the fundamental theorem of algebra |
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Authors: | Donald Spector |
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Affiliation: | (1) Department of Physics, Eaton Hall, Hobart and William Smith Colleges, 14456 Geneva, NY, USA |
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Abstract: | I give an interpretation of the fundamental theorem of algebra based on supersymmetry and the Witten index. The argument gives a physical explanation of why a real polynomial of degreen need not haven real zeroes, while a complex polynomial of degreen must haven complex zeroes. This paper also addresses in a general and model-independent way the statistics of the perturbative ground states (the states which correspond to classical vacua) in supersymmetric theories with complex and with real superfields. |
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