Chern-Simons supergravities, with a twist

摘要

We discuss noncommutative extensions of Chern-Simons (CS) supergravities in odd dimensions. The example of D = 5 CS supergravity, invariant under the gauge supergroup SU(2, 2|N), is worked out in detail. Its noncommutative version, with a ⋆-product associated to an abelian Drinfeld twist, is found to exist only for N = 4.