Chiral and Real N=2 supersymmetric l-conformal Galilei algebras

Understand

Inequivalent N=2 supersymmetrizations of the l-conformal Galilei algebra in d-spatial dimensions are constructed from the chiral (2,2) and the real (1,2,1) basic supermultiplets of the N=2 supersymmetry.

• For non-negative integer and half-integer l both superalgebras admit a consistent truncation with a (different) finite number of generators.
• The real N=2 case coincides with the superalgebra introduced by Masterov, while the chiral N=2 case is a new superalgebra.
• We present D-module representations of both superalgebras.