Exceptional Superconformal Algebras

Details Exceptional Superconformal Algebras Exceptional Superconformal Algebras

1992-02-19

arxiv.org/abs/hep-th/9202061v1

Nucl.Phys. B381 (1992) 415-430

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1016/0550-3213(92)90654-T

Reductive W-algebras which are generated by bosonic fields of spin-1, a single spin-2 field and fermionic fields of spin-3/2 are classified. Three new cases are found: a `symplectic' family of superconformal algebras which are extended by $su(2)\oplus sp(n)$, an $N=7$ and an $N=8$ superconformal algebra. The exceptional cases can be viewed as arising a Drinfeld-Sokolov type reduction of the exceptional Lie superalgebras $G(3)$ and $F(4)$, and have an octonionic description. The quantum versions of the superconformal algebras are constructed explicitly in all three cases.

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