The five exceptional simple Lie superalgebras of vector fields

dc.creatorShchepochkina, Irina
dc.date1997-02-16
dc.date.accessioned2026-07-07T04:23:06Z
dc.date.available2026-07-07T04:23:06Z
dc.descriptionThe five simple exceptional complex Lie superalgbras of vector fields are described. One of them is new; the other four are explicitely described for the first time. All of the exceptional Lie superalgebras are obtained with the help of the Cartan prolongation or a generalized prolongation. The description of several of the exceptional Lie superalgebras is associated with the Lie superalgebra AS - the nontrivial central extension of the supertraceless subalgebra SPE(4) of the periplectic Lie superalgebra PE(4) that preserves the nondegenerate odd bilinear form on the (4|4)-dimensional superspace. (A nontrivial central extension of SPE(n) only exists for n=4.)
dc.descriptionLeTeX, 23 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9702121
dc.identifierhttp://arxiv.org/abs/hep-th/9702121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54901
dc.subjectHigh Energy Physics - Theory
dc.titleThe five exceptional simple Lie superalgebras of vector fields
dc.typetext

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