An exceptional N=8 superconformal algebra in two dimensions associated with F(4)

E. S. Fradkin; V. Ya Linetsky

doi:10.1016/0370-2693(92)91600-E

An exceptional N=8 superconformal algebra in two dimensions associated with F(4)

E. S. Fradkin^*, V. Ya Linetsky

^*Corresponding author for this work

Industrial Engineering and Management Sciences

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Abstract

An exceptional N=8 superconformal algebra in two dimensions is constructed. It includes a multiplet of Kac-Moody currents in the adjoint representation of Spin(7) and a multiplet of supercurrents in the spinor representation of Spin(7), besides the energy-momentum tensor. It involves both central terms and quadratically nonlinear terms in the supercommutators. The Möbius subsuperalgebra is reduced to F(4). The existence of the entire construction is accounted for by the remarkable properties of octonions.

Original language	English (US)
Pages (from-to)	345-349
Number of pages	5
Journal	Physics Letters B
Volume	275
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(92)91600-E
State	Published - Jan 30 1992

ASJC Scopus subject areas

Nuclear and High Energy Physics

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abstract = "An exceptional N=8 superconformal algebra in two dimensions is constructed. It includes a multiplet of Kac-Moody currents in the adjoint representation of Spin(7) and a multiplet of supercurrents in the spinor representation of Spin(7), besides the energy-momentum tensor. It involves both central terms and quadratically nonlinear terms in the supercommutators. The M{\"o}bius subsuperalgebra is reduced to F(4). The existence of the entire construction is accounted for by the remarkable properties of octonions.",

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AU - Linetsky, V. Ya

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N2 - An exceptional N=8 superconformal algebra in two dimensions is constructed. It includes a multiplet of Kac-Moody currents in the adjoint representation of Spin(7) and a multiplet of supercurrents in the spinor representation of Spin(7), besides the energy-momentum tensor. It involves both central terms and quadratically nonlinear terms in the supercommutators. The Möbius subsuperalgebra is reduced to F(4). The existence of the entire construction is accounted for by the remarkable properties of octonions.

AB - An exceptional N=8 superconformal algebra in two dimensions is constructed. It includes a multiplet of Kac-Moody currents in the adjoint representation of Spin(7) and a multiplet of supercurrents in the spinor representation of Spin(7), besides the energy-momentum tensor. It involves both central terms and quadratically nonlinear terms in the supercommutators. The Möbius subsuperalgebra is reduced to F(4). The existence of the entire construction is accounted for by the remarkable properties of octonions.

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ER -

An exceptional N=8 superconformal algebra in two dimensions associated with F(4)

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