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arXiv · 1310.7185

Higher form gauge fields and their nonassociative symmetry algebras

Leonardo Castellani
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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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Leonardo Castellani. 2014-09-24. Higher form gauge fields and their nonassociative symmetry algebras. https://doi.org/10.1007/jhep09(2014)055

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