Fractional BPS multitrace fields of N=4 SYM4 from AdS/CFT

Abstract

We prove inductively that every k-trace operator of SO(6) R irrep with Young tableau partition {r 1 , r 2 , r 3 }, constructed out of k chiral primaries in the twenty dimensional SO(6) R irrep, leads to a quasi primary field with protected conformal dimension. Our argument is based on perturbative evaluations of certain four point functions up to order 1/N 2 .

Group-theoretical classification of BPS and possibly protected states inD=4conformal supersymmetry

“…More recently, there were developments of integrability in the context of the AdS/CFT correspondence, in which superconformal field theories, especially in 4D, were also playing important role. For this we refer to the reviews [8,9], and for earlier relevant papers also in the general context of AdS/CFT and superconformal symmetry, we refer to [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and references therein.…”