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arXiv · 0904.4517

Weighted Supermembrane Toy Model

Douglas Lundholm
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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.

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Douglas Lundholm. 2010-03-25. Weighted Supermembrane Toy Model. https://doi.org/10.1007/s11005-010-0383-7

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