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

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.