Higher Spins and Stringy AdS5xS5

TL;DR

This work analyzes higher-spin holography in the AdS5×S5 setting by examining HS symmetry enhancement at zero coupling and deriving the perturbative Type IIB string spectrum in this stringy regime. It achieves a precise match between the HS-extended string spectrum and the free N=4 SYM spectrum using Polya counting, with spectrum organization into HS multiplets and a clear identification of the massless doubleton and KK recurrences. The notes also discuss how HS symmetry breaking to the familiar PSU(2,2|4) and the Higgs-like mechanism (La Grande Bouffe) can be understood in a Stückelberg framework, supported by Vasiliev’s HS dynamics and the structure of HS multiplets arising from singleton tensor products. Together these elements provide a coherent picture of stringy AdS/CFT in the HS limit and its implications for operator mixing and anomalous dimensions at weak coupling.

Abstract

In this lecture I review recent work on higher spin holography. After a notational flash on the AdS/CFT correspondence, I will discuss HS symmetry enhancement and derive the spectrum of perturbative type IIB superstring excitations on AdS5 in this limit. I will then successfully compare it with the free N=4 SYM spectrum obtained by means of Polya theory. Decomposing the spectrum in HS multiplets, I will eventually sketch how ``La Grande Bouffe'' can be formulated a` la Stueckelberg.