Letters in Mathematical Physics

, Volume 92, Issue 2, pp 125–141 | Cite as

Weighted Supermembrane Toy Model

Article
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Abstract

A weighted Hilbert space approach to the study of zero-energy states of supersymmetric matrix models is introduced. Applied to a related but technically simpler model, it is shown that the spectrum of the corresponding weighted Hamiltonian simplifies to become purely discrete for sufficient weights. This follows from a bound for the number of negative eigenvalues of an associated matrix-valued Schrödinger operator.

Mathematics Subject Classification (2000)

81Q10 81Q60 35P20 

Keywords

supersymmetric matrix models matrix-valued Schrödinger operator Cwikel-Lieb-Rozenblum inequality 
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Copyright information

© Springer 2010

Authors and Affiliations

  1. 1.Department of MathematicsRoyal Institute of TechnologyStockholmSweden

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