Higher spin holography for SYM in d dimensions

TL;DR

This paper analyzes the spectrum of gauge invariant operators in maximally supersymmetric Yang-Mills theories across dimensions, revealing a universal pattern and confirming consistency with string theory predictions.

Contribution

It derives a universal spectrum pattern for operators in SYM theories and connects it with higher spin holography and string theory results.

Findings

Operators organize into long multiplets of SO(10,2)

Spectrum matches KK reduction of type II strings

Universal, dimension-independent pattern observed

Abstract

We derive the spectrum of gauge invariant operators for maximally supersymmetric Yang-Mills theories in d dimensions. After subtracting the tower of BPS multiplets, states are shown to fall into long multiplets of a hidden SO(10,2) symmetry dressed by thirty-two supercharges. Their primaries organize into a universal, i.e. d-independent pattern. The results are in perfect agreement with those following from (naive) KK reduction of type II strings on the warped AdS x S near-horizon geometry of Dp-branes.