Shape and holography: studies of dual operators to giant gravitons

TL;DR

This paper investigates the dual operators to giant gravitons and their open string fluctuations, demonstrating a consistent spectrum with a Fock space structure and showing that these operators can be studied perturbatively despite their large R charge.

Contribution

It provides a detailed analysis of the dual operators to giant gravitons, showing their spectrum matches a Fock space and can be studied with perturbative 1/N expansion techniques.

Findings

Spectrum consistent with open and closed string states

Operators with large R charge are accessible via perturbation theory

Massless fluctuation spectrum is protected across coupling regimes

Abstract

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.