Fractional Galilean symmetries

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 s...

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Bibliographic Details
Main Authors: Ali Hosseiny, Shahin Rouhani
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316301936