Abstract
The conjectured symmetries of M-theory famously involve (1.) brane-extended super-symmetry (the M-algebra) and (2.) exceptional duality symmetry (the e11-algebra); but little attention has been given to their inevitable combination. In this short note, we highlight (by combining results available in the literature) that the local exceptional duality symmetry (the hyperbolic involutory k1,10⊂e11) acts on the M-algebra, through the “brane-rotating symmetry” sl32, in a way which extends the known hierarchy of finite-dimensional n-exceptional tangent spaces compatibly beyond the traditional bound of n≤7 all the way to n=11.
Original language | English (US) |
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Article number | 139199 |
Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
Volume | 860 |
DOIs | |
State | Published - Jan 2025 |
Keywords
- Generalized geometry
- Kac-Moody algebras
- M-theory
- Supergravity
- Supersymmetry
- U-duality
ASJC Scopus subject areas
- Nuclear and High Energy Physics