Giant Gravitons in Conformal Field Theory
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0107119,
title = {Giant Gravitons in Conformal Field Theory},
author = {Vijay Balasubramanian and Micha Berkooz and Asad Naqvi and Matthew J. Strassler},
journal= {arXiv preprint arXiv:hep-th/0107119},
year = {2009}
}
Comments
37 pages, LaTeX, 1 figure. v2: references and acknowledgements added, small corrections