Portal de Periódicos da CAPES

Shortening of primary operators in $N$-extended $\mathrm{SCFT}_4$ and harmonic-superspace analyticity

1999; Volume: 3; Issue: 4 Linguagem: Inglês

10.4310/atmp.1999.v3.n4.a8

1095-0761

Laura Andrianopoli, S. Ferrara, E. Sokatchev, Б. М. Зупник,

Nonlinear Waves and Solitons

We present the analysis of all possible shortenings which occur for composite gauge invariant conformal primary superfields in SU (2, 2/N ) invariant gauge theories.These primaries have top-spin range N 2 ≤ J max < N with J max = J 1 + J 2 , (J 1 , J 2 ) being the SL(2,C) quantum numbers of the highest spin component of the superfield.In Harmonic superspace, analytic and chiral superfields give J max = N 2 series while intermediate shortenings correspond to fusion of chiral with analytic in N = 2, or analytic with different analytic structures in N = 3, 4. In the AdS/CFT language shortenings of UIR's correspond to all possible BPS conditions on bulk states.An application of this analysis to multitrace operators, corresponding to multiparticle supergravity states, is spelled out.