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No zero energy states for the supersymmetric x(2)y(2) potential
2002 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 60, no 2, 191-196 p.Article in journal (Refereed) Published
Abstract [en]

We show that the positive supersymmetric matrix-valued differential operator H = p(x)(2) + p(y)(2) + x(2)y(2) + xsigma(3) + ysigma(1) has no zero modes, i.e., Hpsi = 0 implies psi = 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.

Place, publisher, year, edition, pages
2002. Vol. 60, no 2, 191-196 p.
Keyword [en]
supersymmetric matrix models, zero modes, matrix models
Identifiers
URN: urn:nbn:se:kth:diva-21706ISI: 000176779900009OAI: oai:DiVA.org:kth-21706DiVA: diva2:340404
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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