Giant Gravitons in Conformal Field Theory

Details Giant Gravitons in Conformal Field Theory Giant Gravitons in Conformal Field Theory

2001-07-13

arxiv.org/abs/hep-th/0107119v2

JHEP 0204 (2002) 034

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, LaTeX, 1 figure. v2: references and acknowledgements added, small corrections

Scientific paper

10.1088/1126-6708/2002/04/034

Giant gravitons in AdS_5 x S^5, 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 AdS_7 x S^4 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.

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