Bound States of Dimensionally Reduced SYM2+1 at Finite N
Francesco Antonuccio, Oleg Lunin, Stephen S. Pinsky
Abstract
We consider the dimensional reduction of N=1 SYM2+1 to 1+1 dimensions. The gauge groups we consider are U(N) and SU(N), where N is finite. We formulate the continuum bound state problem in the light-cone formalism, and show that any normalizable SU(N) bound state must be a superposition of an infinite number of Fock states. We also discuss how massless states arise in the DLCQ formulation for certain discretizations.
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