Aspects of infinite dimensional $\ell$-super Galilean conformal algebra

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.

arXiv comment17 pages, no figures; version published in J. Math. Phys

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