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

Abstract: 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.