Expansions of algebras and superalgebras and some applications
Mar, 2007
17 pages
Published in:
- Int.J.Theor.Phys. 46 (2007) 2738-2752
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e-Print:
- hep-th/0703017 [hep-th]
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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).- 02.20.Bb
- 12.60.Jv
- 04.65.+e
- talk: Oberwolfach 2006/01/15
- algebra: Lie
- supersymmetry: algebra
- commutation relations
- supergravity
- dimension: 11
- transformation: gauge
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