The M-algebra completes the hierarchy of super-exceptional tangent spaces

Grigorios Giotopoulos, Hisham Sati, Urs Schreiber

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Article number139199
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume860
DOIs
StatePublished - Jan 2025

Keywords

  • Generalized geometry
  • Kac-Moody algebras
  • M-theory
  • Supergravity
  • Supersymmetry
  • U-duality

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint

Dive into the research topics of 'The M-algebra completes the hierarchy of super-exceptional tangent spaces'. Together they form a unique fingerprint.

Cite this