BRST gauge fixing and the algebra of global supersymmetry

Abstract

A global supersymmetry (SUSY) in supersymmetric gauge theory is generally broken by gauge fixing. A prescription to extract physical information from such SUSY algebra broken by gauge fixing is analyzed in path integral framework. If ${\delta }_{SUSY}{\delta }_{BRST}\Psi ={\delta }_{BRST}{\delta }_{SUSY}\Psi$ for a gauge fixing ``fermion'' $\Psi$, the SUSY charge density is written as a sum of the piece which is naively expected without gauge fixing and a BRST exact piece. If ${\delta }_{SUSY}{\delta }_{SUSY}{\delta }_{BRST}\Psi ={\delta }_{BRST}{\delta }_{SUSY}{\delta }_{SUSY}\Psi$, the equal-time anti-commutator of SUSY charge is written as a sum of a physical piece and a BRST exact piece. We illustrate these properties for N=1 and N=2 supersymmetric Yang-Mills theories and for a D=10 massive superparticle (or ``D-particle'') where the $\kappa$-symmetry provides extra complications.

18 pages, Latex, analysis of N=2 SYM is added

References in corpus (2)

• D-Brane Actions with Local Kappa Symmetry
• Gauge-Invariant and Gauge-Fixed D-Brane Actions

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