No Zero Energy States for the Supersymmetric x2y2 Potential

被引:0
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作者
G. M. Graf
D. Hasler
J. Hoppe
机构
[1] ETH-Hönggerberg,Theoretische Physik
[2] QFT,undefined
[3] HU-Berlin,undefined
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关键词
supersymmetric matrix models; zero modes;
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摘要
We show that the positive supersymmetric matrix-valued differential operator H = px2 + py2 + x2y2 + xσ3 + yσ1 has no zero modes, i.e., Hψ = 0 implies ψ = 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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页码:191 / 196
页数:5
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