English

Exceptionally simple super-PDE for $F(4)$

Differential Geometry 2026-03-31 v3 Mathematical Physics math.MP Representation Theory

Abstract

For the largest exceptional simple Lie superalgebra F(4)F(4), having dimension (2416)(24|16), we provide two explicit geometric realizations as supersymmetries, namely as the symmetry superalgebra of super-PDE systems of second and third order respectively.

Cite

@article{arxiv.2207.04531,
  title  = {Exceptionally simple super-PDE for $F(4)$},
  author = {Andrea Santi and Dennis The},
  journal= {arXiv preprint arXiv:2207.04531},
  year   = {2026}
}

Comments

34 pages, v3: acknowledgments completed. Final version to appear on Commun. Contemp. Math

R2 v1 2026-06-25T00:47:43.932Z