A comment on the light-cone vacuum in 1+1 dimensional super-Yang-Mills theory

The discrete light-cone quantization (DLCQ) of a supersymmetric gauge theor y in 1 + 1 dimensions is discussed, with particular attention given to the inclusion of the gauge zero-mode. Interestingly, the notorious "zero-mode" problem is now tractable because of special supersymmetric cancellations. i n particular, we show that anomalous zero-mode contributions to the current s are absent, in contrast to what is observation the nonsupersymmetric case . An analysis of the vacuum structure is provided by deriving the effective quantum mechanical Hamiltonian of the gauge zero-mode. It is shown that th e inclusion of the zero modes of the adjoint scalers and fermions is crucia l for probing the phase properties of the vacua. We find that the ground-st ate energy is zero and thus consistent with unbroken supersymmetry and conc lude that the light-cone Fock vacuum is unchanged with ir without the press ure of matter fields.