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GALILEAN SUPERCONFORMAL ALGEBRAS WITH CENTRAL EXTENSION AND THEIR REALIZATIONS

    https://doi.org/10.1142/9789814518550_0059Cited by:0 (Source: Crossref)
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    Abstract:

    The Galilean conformal algebra (GCA) is a class of non-semisimple Lie algebra specified by spin ℓ and dimension of space d. We investigate N = 2 supersymmetric extensions of GCA and introduce a novel super-GCA for d = 2 but arbitrary ℓ We also give a realization of the novel superalgebra in terms of bosons and fermions.