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arxiv: 1308.2786 · v2 · pith:XSCNQOJNnew · submitted 2013-08-13 · ✦ hep-th · math-ph· math.MP

On the Relationship between Discrete and Continuous Energy Spectra of SU(N) Supermembrane Matrix Model

classification ✦ hep-th math-phmath.MP
keywords energycontinuousbeeneigenstateexistsmatrixmodelnormalizable
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It has been known that SU(N) supermembrane matrix model has continuous energy spectrum, and it has also been conjectured that it has a normalizable energy eigenstate. Assuming that there exists a normalizable energy eigenstate for each N, we show that there exists a branch of continuous energy spectrum for each partition of N.

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