Lie superalgebras of string theories

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dc.creatorGrozman, Pavel
dc.creatorLeites, Dimitry
dc.creatorShchepochkina, Irina
dc.date1997-02-16
dc.date.accessioned2026-07-07T09:14:37Z
dc.date.available2026-07-07T09:14:37Z
dc.descriptionWe define and describe simple complex Lie superalgbras of vector fields on "supercircles" - simple stringy superalgebras. There are four series of such algebras and four exceptional stringy superalgebras. The 13 of the simple stringy Lie superalgebras are distinguished: only they have nontrivial central extensions; since two of the distinguish algebras have 3 nontrivial central extensions each, there are exactly 16 superizations of the Liouville action, Schroedinger equation, KdV hierarchy, etc. We also present the three nontrivial cocycles on the N=4 extended Neveu-Schwarz and Ramond superalgebras in terms of primary fields and describe the "classical" stringy superalgebras close to the simple ones. One of these stringy superalgebras is a Kac-Moody superalgebra G(A) with a nonsymmetrizable Cartan matrix A. Unlike the Kac-Moody superalgebras of polynomial growth with symmetrizable Cartan matrix, it can not be interpreted as a central extension of a twisted loop algebra.The stringy superalgebras are often referred to as superconformal ones. We discuss how superconformal stringy superalgebras really are.
dc.description22 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9702120
dc.identifierhttp://arxiv.org/abs/hep-th/9702120
dc.identifierActa Math.Vietnamica 26 (2005) 27-63
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152733
dc.subjectHigh Energy Physics - Theory
dc.subjectRepresentation Theory
dc.titleLie superalgebras of string theories
dc.typetext

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