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.
Higher form gauge fields and their nonassociative symmetry algebras
Castellani, Leonardo
2014-01-01
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.File in questo prodotto:
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