Resumo
dx.doi.org/10.7437/NF2318-4957/2013.01.003
Inequivalent N = 2 supersymmetrizations of the -conformal Galilei algebra ind-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 andhalf-integer both superalgebras admit a consistent truncation with a (different)finite number of generators. The real N = 2 case coincides with the superalgebraintroduced by Masterov, while the chiral N = 2 case is a new superalgebra.We present D-module representations of both superalgebras. Then we investi-gate the new superalgebra derived from the chiral supermultiplet. It is shown that itadmits two types of central extensions, one is found for any d and half-integer andthe other only for d = 2 and integer . For each central extension the centrally ex-tended -superconformal Galilei algebra is realized in terms of its super-Heisenbergsubalgebra generators.