Coset spaces and Einstein manifolds with l-conformal Galilei symmetry

Abstract

The group theoretic construction is applied to construct a novel dynamical realization of the $l$--conformal Galilei group in terms of geodesic equations on the coset space. A peculiar feature of the geodesics is that all their integrals of motion, including the accelerations, are functionally independent. The analysis in the recent work [Phys. Lett. B 754 (2016) 249] is extended to construct the Einstein metrics with the $l$--conformal Galilei isometry group.

10 pages

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• Superfield approach to higher derivative N=1 superconformal mechanics
• Aspects of infinite dimensional $\ell$-super Galilean conformal algebra