Giant Gravitons in Conformal Field Theory

Giant gravitons in AdS_5 x S^5, and its orbifolds, have a dual field theoryrepresentation as states created by chiral primary operators. We argue thatthese operators are not single-trace operators in the conformal field theory,but rather are determinants and subdeterminants of scalar fields; the stringyexclusion principle applies to these operators. Evidence for thisidentification comes from three sources: (a) topological considerations inorbifolds, (b) computation of protected correlators using free field theory and(c) a Matrix model argument. The last argument applies to AdS_7 x S^4 and thedual (2,0) theory, where we use algebraic aspects of the fuzzy 4-sphere tocompute the expectation value of a giant graviton operator along the Coulombbranch of the theory.