Supersymmetry, Vacuum Statistics, and the Fundamental Theorem of Algebra

Details Supersymmetry, Vacuum Statistics, and the Fundamental Theorem of Algebra Supersymmetry, Vacuum Statistics, and the Fundamental Theorem of Algebra

1994-08-23

arxiv.org/abs/hep-th/9408126v2

Commun.Math.Phys. 177 (1996) 13-26

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac. The revisions provide a more detailed discussion of the mathematical context of the results

Scientific paper

10.1007/BF02102428

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 degree $n$ need not have $n$ real zeroes, while a complex polynomial of degree $n$ must have $n$ 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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