Dep:lrlillent or Ph ys ics. KUIll:llln Uni vers it y. Na in i tal 263 002 Received 27 Marc il 2()()() SupersY lllllletric :li gehr:1 ha s heen co nstru cted in terms of spil1ori :1i charges in co mpl ex C 's pace co nsis ting of sY lllllletri cal sp:ll ial :lml templnal cO lllponen ts :ll ll l th e supersY lllllletri c quantulll mechanics has hee n rormul :ltcd hy identify ing th e :Idd iti o nal lelllpor:1i component s o f thi s space as superlim e anticomllluting v: lria hles. Superri elds.

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... per-potellli :li s and co vari:lIlt d e~' i vat i vcs h:IVC heen deri ved in terlll s or anti co lllllluting o perators co nstru cted hy using addition :1i telllpor:1i cOlllpn n e nt ~: of C'-sp:lce ami it has hcen shown th at th e supersYlllllletry is weakly hrnk en in th ese ex tr" telllpm ;1i d i mensilln s.