On the Spectrum of D=2 Supersymmetric Yang-Mills Quantum Mechanics

Abstract

We investigate the structure of the spectrum of states in D=2 SU(N) supersymmetric Yang-Mills matrix quantum mechanics, which is a simplified model of Matrix theory. We compute the thermal partition function of this system and give evidence for the correctness of naively conjectured structure of the spectrum. It also suggests that Claudson-Halpern-Samuel solution is the unique eigenfunction of simultaneously diagonalizable hermitian operators, and we show that it is true in N=3 and N=4 cases.