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.

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