Higher form gauge fields and their nonassociative symmetry algebras
High Energy Physics - Theory
2015-06-17 v3 Mathematical Physics
math.MP
Abstract
We show that geometric theories with -form gauge fields have a nonassociative symmetry structure, extending an underlying Lie algebra. This nonassociativity is controlled by the same Chevalley-Eilenberg cohomology that classifies free differential algebras, -form generalizations of Cartan-Maurer equations. A possible relation with flux backgrounds of closed string theory is pointed out.
Keywords
Cite
@article{arxiv.1310.7185,
title = {Higher form gauge fields and their nonassociative symmetry algebras},
author = {Leonardo Castellani},
journal= {arXiv preprint arXiv:1310.7185},
year = {2015}
}
Comments
8 pages, LaTeX. Shortened review part on extended Lie derivatives and free differential algebras, added computation of the Jacobiator for D=11 supergravity, added references. Matches published version on JHEP