Defining relations for the exceptional Lie superalgebras of vector fields pertaining to The Standard Model

Simple item page
dc.creatorGrozman, Pavel
dc.creatorLeites, Dimitry
dc.creatorShchepochkina, Irina
dc.date2002-02-18
dc.date.accessioned2026-07-07T06:20:00Z
dc.date.available2026-07-07T06:20:00Z
dc.descriptionWe list defining relations for the four of the five exceptional simple Lie superalgebras some of which, as David Broadhurst conjectured and Kac demonstrated, may pertain to The Standard Model or Grand unified theories of elementary particles. For the fifth superalgebra the result is not final: there might be infinitely many relations. Contrariwise, for the same Lie superalgebra with Laurent polynomials as coefficients there are only finitely many relations.
dc.description42 pages, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/0202025
dc.identifierhttp://arxiv.org/abs/math-ph/0202025
dc.identifierIn: C.Duval, L.Guieu, V.Ovsienko (eds.) The orbit method in geometry and physics: in honor of A.A.Kirillov. Progress in Mathematics, Birkhauser, 2003, 101-146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95219
dc.subjectMathematical Physics
dc.subject17A70 (Primary) 17B35 (Secondary)
dc.titleDefining relations for the exceptional Lie superalgebras of vector fields pertaining to The Standard Model
dc.typetext

Files

Collections

arXiv