Higher form gauge fields and their nonassociative symmetry algebras

Leonardo Castellani

doi:10.1007/JHEP09(2014)055

Higher form gauge fields and their nonassociative symmetry algebras

Leonardo Castellani

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

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.

Lingua originale	Inglese
Numero di articolo	55
pagine (da-a)	1-8
Numero di pagine	8
Rivista	Journal of High Energy Physics
Volume	2014
Numero di pubblicazione	9
DOI	https://doi.org/10.1007/JHEP09(2014)055
Stato di pubblicazione	Pubblicato - 2014

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10.1007/JHEP09(2014)055

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title = "Higher form gauge fields and their nonassociative symmetry algebras",

abstract = "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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AB - 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.

KW - Differential and Algebraic Geometry

KW - Flux compactifications

KW - Supergravity Models

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U2 - 10.1007/JHEP09(2014)055

DO - 10.1007/JHEP09(2014)055

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Higher form gauge fields and their nonassociative symmetry algebras

Abstract

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