M(ysterious) Patterns in SO(9)

Abstract

The light-cone little group, SO(9), classifies the massless degrees of freedom of eleven-dimensional supergravity, with a triplet of representations. We observe that this triplet generalizes to four-fold infinite families with the quantum numbers of massless higher spin states. Their mathematical structure stems from the three equivalent ways of embedding SO(9) into the exceptional group $F_4$.

15 pages, uses article.sty. To appear in Physics Reports in the memory of Richard Slansky

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