Expansions of algebras and superalgebras and some applications

Mar, 2007
17 pages
Published in:
  • Int.J.Theor.Phys. 46 (2007) 2738-2752
e-Print:

Citations per year

200620112016202120240246810
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