Higher Spins and Stringy AdS5xS5

TL;DR

This paper reviews recent developments in higher spin holography, focusing on the spectrum of type IIB superstring excitations in AdS5 and their comparison with free N=4 SYM theory, highlighting symmetry enhancements and spectrum decomposition.

Contribution

It derives the spectrum of superstring excitations on AdS5 and compares it with free N=4 SYM, demonstrating higher spin symmetry enhancement and spectrum organization.

Findings

Spectrum of superstring excitations matches free N=4 SYM spectrum

HS symmetry enhancement observed in the spectrum

Decomposition into higher spin multiplets achieved

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.