Triplectic Gauge Fixing for N=1 Super Yang-Mills Theory

The Sp (2)-gauge fixing of N = 1 super-Yang-Mills theory is considered here. We thereby apply the triplectic scheme, where two classes of gauge-fixing bosons are introduced. The first one depends only on the gauge field, whereas the second boson depends on this gauge field and also on a pair of Majorana fermions. In this sense, we build up the BRST extended (BRST plus antiBRST) algebras for the model, for which the nilpotency relations, s 21 = s 22 = s 1 s 2 + s 2 s 1 = 0, hold.