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arXiv 2016-11-15 DOI 10.1140/epjc/s10052-017-4615-1 0 views

Inönü-Wigner Contraction and D=2+1 Supergravity

Concha, P. K. · Fierro, O. · Rodríguez, E. K.

Original · EN

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 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 D=2+1 (p,q) % AdS Chern-Simons supergravity in presence of the exotic form. We also construct a new three-dimensional (2,0) Maxwell Chern-Simons supergravity theory as a particular limit of (2,0) AdS -Lorentz supergravity theory. The generalization for N=p+q gravitini is also considered.

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