TY - JOUR

T1 - An exceptional N=8 superconformal algebra in two dimensions associated with F(4)

AU - Fradkin, E. S.

AU - Linetsky, V. Ya

PY - 1992/1/30

Y1 - 1992/1/30

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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U2 - 10.1016/0370-2693(92)91600-E

DO - 10.1016/0370-2693(92)91600-E

M3 - Article

AN - SCOPUS:0001549952

VL - 275

SP - 345

EP - 349

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -