Higher form gauge fields and their nonassociative symmetry algebras

Leonardo Castellani

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Higher form gauge fields and their nonassociative symmetry algebras

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arxiv 1310.7185 v3 pith:VYIVHNA5 submitted 2013-10-27 hep-th math-phmath.MP

Leonardo Castellani This is my paper · ORCID

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keywords formalgebrasfieldsgaugenonassociativesymmetryalgebrabackgrounds

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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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