Fermion masses for the Englert solution on the round seven-sphere

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

doi:10.1103/PhysRevD.30.1688

Fermion masses for the Englert solution on the round seven-sphere

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

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

Abstract

Using a mass formula for Englert-type solutions on arbitrary coset spaces, we have found that if the coset is the round S7, no massless fermions exist. For this purpose we develop a method to decompose SO(8) representations with respect to spin(7), which enables us to compute the eigenvalues of the spin(7)-invariant differential operators in the mass matrix by using algebraic identities satisfied by them.

Lingua originale	Inglese
pagine (da-a)	1688-1694
Numero di pagine	7
Rivista	Physical Review D
Volume	30
Numero di pubblicazione	8
DOI	https://doi.org/10.1103/PhysRevD.30.1688
Stato di pubblicazione	Pubblicato - 1984
Pubblicato esternamente	Sì

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10.1103/PhysRevD.30.1688

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abstract = "Using a mass formula for Englert-type solutions on arbitrary coset spaces, we have found that if the coset is the round S7, no massless fermions exist. For this purpose we develop a method to decompose SO(8) representations with respect to spin(7), which enables us to compute the eigenvalues of the spin(7)-invariant differential operators in the mass matrix by using algebraic identities satisfied by them.",

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Fermion masses for the Englert solution on the round seven-sphere

Abstract

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