No Zero Energy States for the Supersymmetric x 2 y 2 Potential |
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Authors: | Graf G M Hasler D Hoppe J |
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Institution: | (1) Theoretische Physik, ETH-Hönggerberg, CH–8093 Zürich, Switzerland;(2) QFT, HU-Berlin, Invalidenstrasse 110, D–10115 Berlin, Germany |
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Abstract: | We show that the positive supersymmetric matrix-valued differential operator H = p
x
2 + p
y
2 + x
2
y
2 + x3 + y1 has no zero modes, i.e., H = 0 implies = 0. The result depends on a virial type argument for the corresponding supercharge. The model may be regarded as a simple relative of dimensional reductions of supersymmetric Yang–Mills theories. |
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Keywords: | supersymmetric matrix models zero modes |
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