1992/02/19 by P. Bowcock · 4 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #hep-th
paper · pdf · doi:10.1016/0550-3213(92)90654-t
published as Nucl.Phys. B381 (1992) 415-430 · 16 pages
arxiv created 1992/02/19 · openalex publication_date 1992/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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)⊕ 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.