Abstract
We show that geometric theories with p-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, p-form generalizations of Cartan-Maurer equations. A possible relation with flux backgrounds of closed string theory is pointed out.
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Castellani, L. Higher form gauge fields and their nonassociative symmetry algebras. J. High Energ. Phys. 2014, 55 (2014). https://doi.org/10.1007/JHEP09(2014)055
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DOI: https://doi.org/10.1007/JHEP09(2014)055