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arXiv · hep-th/0703017

Expansions of algebras and superalgebras and some applications

J. A. de Azcarraga·J. M. Izquierdo·M. Picon·O. Varela
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Abstract

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).

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J. A. de Azcarraga, J. M. Izquierdo, M. Picon, O. Varela. 2007-03-02. Expansions of algebras and superalgebras and some applications. https://doi.org/10.1007/s10773-007-9385-3

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