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

TL;DR

This paper develops a triplectic gauge fixing approach for N=1 super-Yang-Mills theory, introducing two classes of gauge-fixing bosons and constructing the associated BRST extended algebra with nilpotency properties.

Contribution

It applies the triplectic scheme to N=1 super-Yang-Mills theory, incorporating gauge-fixing bosons dependent on gauge fields and Majorana fermions, and constructs the BRST extended algebra.

Findings

Successfully implements triplectic gauge fixing in super-Yang-Mills theory.

Defines two classes of gauge-fixing bosons with specific dependencies.

Establishes nilpotency relations for the extended BRST algebra.

Abstract

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^2_1=s^2_2=s_1s_2+s_2s_1=0, hold.