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

Mathematical Physics 2016-12-21 v2 math.MP

Abstract

In this work we construct a infinite dimensional \ell-super Galilean conformal algebra, which is a generalization of the =1\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.

Keywords

Cite

@article{arxiv.1607.07147,
  title  = {Aspects of infinite dimensional $\ell$-super Galilean conformal algebra},
  author = {N. Aizawa and J. Segar},
  journal= {arXiv preprint arXiv:1607.07147},
  year   = {2016}
}

Comments

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