"Massive" Higher Spin Multiplets and Holography

TL;DR

This paper reviews the extension of string spectra to higher spin theories in AdS/CFT, demonstrating a match with gauge-invariant operators in N=4 SYM and analyzing the spectrum's decomposition into higher spin representations.

Contribution

It provides a detailed comparison between the extrapolated string spectrum at the higher spin point and the spectrum of gauge-invariant operators in N=4 SYM, including their decomposition into higher spin representations.

Findings

Successful matching of string spectrum with gauge-invariant operators

Decomposition of spectrum into massless and massive higher spin representations

Clarification of higher spin symmetry structure in AdS/CFT

Abstract

We review the extrapolation of the single-particle string spectrum on AdS(5)xS(5) to the Higher Spin enhancement point and the successful comparison of the resulting spectrum with the one of single-trace gauge-invariant operators in N=4 supersymmetric Yang-Mills theory. We also describe how to decompose the common spectrum in terms of massless and massive representations of the relevant Higher Spin symmetry group. Based on the lecture delivered by M. Bianchi at the First Solvay Conference on Higher-Spin Gauge Theories held in Bruxelles, on May 12-14, 2004.