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Giant Gravitons in Conformal Field Theory

2002; Springer Nature; Volume: 2002; Issue: 04 Linguagem: Inglês

10.1088/1126-6708/2002/04/034

1127-2236

Vijay Balasubramanian, Micha Berkooz, Asad Naqvi, Matthew J. Strassler,

Cosmology and Gravitation Theories

Giant gravitons in AdS5 × S5, and its orbifolds, have a dual field theory representation as states created by chiral primary operators. We argue that these operators are not single-trace operators in the conformal field theory, but rather are determinants and subdeterminants of scalar fields; the stringy exclusion principle applies to these operators. Evidence for this identification comes from three sources: (a) topological considerations in orbifolds, (b) computation of protected correlators using free field theory and (c) a Matrix model argument. The last argument applies to AdS7 × S4 and the dual (2,0) theory, where we use algebraic aspects of the fuzzy 4-sphere to compute the expectation value of a giant graviton operator along the Coulomb branch of the theory.