Two-dimensional super Yang-Mills theory investigated with improved resolution

In earlier work, N �� 1; 1� super Yang-Mills theory in two dimensions was found to have several interesting properties, though these properties could not be investigated in any detail. In this paper we analyze several of these properties. We investigate the spectrum of the theory, and we calculate the masses of the low-lying states using supersymmetric discrete light-cone quantization (SDLCQ) and obtain their continuum values. The spectrum exhibits an interesting pattern of masses, which we discuss along with a toy model for this pattern which might allow an understanding of the entire spectrum. We confirm an earlier speculation that the mass gap in this theory goes to zero at infinite resolution. We also discuss how the average number of partons in the bound states grows with increasing resolution. As a significant step toward a proof that SDLCQ must be supersymmetric, we determine the numbers of fermions and bosons in the N �� 1; 1� and N �� 2; 2� theories in each symmetry sector, as functions of the resolution, and show that these numbers are equal.