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Título: | Expansions of algebras and superalgebras and some applications |
Autor: | Azcárraga, José A. de CSIC ORCID; Izquierdo, José Manuel; Picón, M.; Varela, Óscar | Palabras clave: | Inonu-wigner contractions Continuous graded contractions Lie algebras Group representations Topological extensions Extended superspaces Deformation theory D=11 Supergravity BPS States Cohomology |
Fecha de publicación: | 6-jun-2007 | Editor: | Springer Nature | Citación: | International Journal of Theoretical Physics 46(11): 2738-2752 (2007) | Serie: | IFIC/06-35 | Resumen: | After reviewing the three well-known methods to obtain Lie algebras and superalgebras from given ones, namely, contractions, deformations and extensions, we describe a fourth method recently introduced, the expansion of Lie (super)algebras. Expanded (super)algebras have, in general, larger dimensions than the original algebra, but also include the Inonu-Wigner and generalized IW contractions as a particular case. As an example of a physical application of expansions, we discuss the relation between the possible underlying gauge symmetry of eleven-dimensional supergravity and the superalgebra osp(1|32). | Descripción: | 15 pages.-- PACS nrs.: 02.20.Bb, 04.65.+e, 12.60.Jv.-- ISI Article Identifier: 000250585900005.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/0703017 Invited lecture delivered at the 'Deformations and Contractions in Mathematics and Physics Workshop' (Jan 15–21, 2006, Mathematisches Forschungsinstitut Oberwolfach, Germany).-- Printed version published Nov 2007. |
Versión del editor: | http://dx.doi.org/10.1007/s10773-007-9385-3 | URI: | http://hdl.handle.net/10261/9194 | DOI: | 10.1007/s10773-007-9385-3 | ISSN: | 0020-7748 |
Aparece en las colecciones: | (IFIC) Artículos |
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