M(ysterious) Patterns in SO(9)
T. Pengpan, P. Ramond (U Florida, Gainesville)

TL;DR
This paper explores the mathematical structure of SO(9) representations in eleven-dimensional supergravity, revealing a pattern of infinite families linked to the exceptional group F4, suggesting new insights into higher spin states.
Contribution
It uncovers a novel infinite family pattern of SO(9) representations related to F4 embeddings, extending understanding of supergravity degrees of freedom.
Findings
Identification of four-fold infinite families of representations
Connection between SO(9) embeddings and F4
Implications for higher spin state classification
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 .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
