N. Maru et J. Nishimura, LATTICE FORMULATION OF SUPERSYMMETRIC YANG-MILLS THEORIES WITHOUT FINE-TUNING, International journal of modern physics A, 13(16), 1998, pp. 2841-2855
We consider an application of the overlap formalism to supersymmetric
Yang-Mills theory in three dimensions. We extend the overlap formalism
for 3D Dirac fermion to Majorana fermion and show that the parity inv
ariance is exactly preserved, which ensures that the continuum limit i
s supersymmetric without fine tuning. For SU(N) gauge group, N must be
taken to be even in order to make the theory free from global gauge a
nomaly. We also discuss how to obtain two-dimensional super Yang-Mills
theory from the 3D theory through dimensional reduction on the lattic
e.