Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-08-04
Nucl.Phys.B521:401-415,1998
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, Latex, analysis of N=2 SYM is added
Scientific paper
10.1016/S0550-3213(98)00220-X
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.
Fujikawa Kazuo
Okuyama Kazumi
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