Shape and holography: studies of dual operators to giant gravitons

Details Shape and holography: studies of dual operators to giant gravitons Shape and holography: studies of dual operators to giant gravitons

2003-06-10

arxiv.org/abs/hep-th/0306090v2

Nucl.Phys. B675 (2003) 179-204

Physics

High Energy Physics

High Energy Physics - Theory

27 pages. v2: Added references

Scientific paper

10.1016/j.nuclphysb.2003.10.004

In this paper we study the conjectured dual operators to a near maximal giant graviton and their open string fluctuations in the large $N$ limit. Using matrix model estimates we show that the spectrum of states near the D-brane operator is consistent with a Fock space of open plus closed string states. We also give an argument that these operators, in spite of having large R charge of order N, are amenable to being studied with standard perturbative techniques, which organize themselves in a 1/N expansion. Also the spectrum of operators dual to massless fluctuations on the D-brane is shown to be protected from weak to strong coupling at leading order, so it is possible to read the shape of the dual operator by understanding how the spherical harmonics of the D-brane fluctuations appear.

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