Fractional Galilean Symmetries
High Energy Physics - Theory
2016-08-02 v2 Mathematical Physics
math.MP
Abstract
We generalize the differential representation of the operators of the Galilean algebras to include fractional derivatives. As a result a whole new class of scale invariant Galilean algebras are obtained. The first member of this class has dynamical index similar to the Schr\"odinger algebra. The second member of the class has dynamical index , which happens to be the dynamical index Kardar-Parisi-Zhang equation.
Cite
@article{arxiv.1603.04061,
title = {Fractional Galilean Symmetries},
author = {Ali Hosseiny and Shahin Rouhani},
journal= {arXiv preprint arXiv:1603.04061},
year = {2016}
}