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Aspects of infinite dimensional $\ell$-super Galilean conformal algebra (1607.07147v2)
Published 25 Jul 2016 in math-ph and math.MP
Abstract: In this work we construct a infinite dimensional $\ell$-super Galilean conformal algebra, which is a generalization of the $\ell=1$ algebra found in the literature. We give a classification of central extensions, the vector field representation, the coadjoint representation and the operator product expansion of the infinite dimensional $\ell$-super Galilean conformal algebra, keeping possible applications in physics and mathematics in mind.