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arXiv · 1603.04061

Fractional Galilean Symmetries

Ali Hosseiny·Shahin Rouhani
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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 $z=2$ similar to the Schrödinger algebra. The second member of the class has dynamical index $z=3/2$, which happens to be the dynamical index Kardar-Parisi-Zhang equation.

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BibTeXRIS

Ali Hosseiny, Shahin Rouhani. 2016-07-31. Fractional Galilean Symmetries. https://doi.org/10.1016/j.nuclphysb.2016.07.010

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