https://doi.org/10.1140/epjc/s10052-017-4615-1
Regular Article - Theoretical Physics
Inönü–Wigner contraction and 
supergravity
1
Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Av. Padre Hurtado 750, Viña del Mar, Chile
2
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Casilla 567, Valdivia, Chile
3
Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Rivera 2850, Concepción, Chile
* e-mail: patillusion@gmail.com
Received:
25
November
2016
Accepted:
5
January
2017
Published online:
25
January
2017
We present a generalization of the standard Inönü–Wigner contraction by rescaling not only the generators of a Lie superalgebra but also the arbitrary constants appearing in the components of the invariant tensor. The procedure presented here allows one to obtain explicitly the Chern–Simons supergravity action of a contracted superalgebra. In particular we show that the Poincaré limit can be performed to a
AdS Chern–Simons supergravity in presence of the exotic form. We also construct a new three-dimensional 
Maxwell Chern–Simons supergravity theory as a particular limit of
AdS–Lorentz supergravity theory. The generalization for 
gravitinos is also considered.
© The Author(s), 2017
