Holonomy groups, sesquidual torsion fields, and SU(8) in d = 11 supergravity

L. Castellani; R. D'Auria; P. Fré; P. Van Nieuwenhuizen

doi:10.1063/1.526092

Holonomy groups, sesquidual torsion fields, and SU(8) in d = 11 supergravity

L. Castellani, R. D'Auria, P. Fré, P. Van Nieuwenhuizen

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

Abstract

The torsion and its curl form an anti-self-dual SO(8) tensor field F _ABCD(y). The Maxwell equations are solved if this tensor is covariantly constant, while the Einstein equations are solved if it satisfies an algebraic relation at the origin. Such F_ABCD are found as the kernel of the holonomy group in the 35 representation of SO(8) and they extend the SO(8) of the round S₇ to SU(8).

Lingua originale	Inglese
pagine (da-a)	3209-3213
Numero di pagine	5
Rivista	Journal of Mathematical Physics
Volume	25
Numero di pubblicazione	11
DOI	https://doi.org/10.1063/1.526092
Stato di pubblicazione	Pubblicato - 1984
Pubblicato esternamente	Sì

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abstract = "The torsion and its curl form an anti-self-dual SO(8) tensor field F ABCD(y). The Maxwell equations are solved if this tensor is covariantly constant, while the Einstein equations are solved if it satisfies an algebraic relation at the origin. Such FABCD are found as the kernel of the holonomy group in the 35 representation of SO(8) and they extend the SO(8) of the round S7 to SU(8).",

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AU - Van Nieuwenhuizen, P.

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AB - The torsion and its curl form an anti-self-dual SO(8) tensor field F ABCD(y). The Maxwell equations are solved if this tensor is covariantly constant, while the Einstein equations are solved if it satisfies an algebraic relation at the origin. Such FABCD are found as the kernel of the holonomy group in the 35 representation of SO(8) and they extend the SO(8) of the round S7 to SU(8).

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Holonomy groups, sesquidual torsion fields, and SU(8) in d = 11 supergravity

Abstract

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