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 [Chernyavsky and Galajinsky (2016) [35]] is extended to construct the Einstein metrics with the l-conformal Galilei isometry group.

Original language	English
Pages (from-to)	471-479
Number of pages	9
Journal	Nuclear Physics B
Volume	911
DOIs	https://doi.org/10.1016/j.nuclphysb.2016.08.007
Publication status	Published - 1 Oct 2016

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2016.08.007

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title = "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 [Chernyavsky and Galajinsky (2016) [35]] is extended to construct the Einstein metrics with the l-conformal Galilei isometry group.",

author = "Dmitry Chernyavsky",

year = "2016",

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doi = "10.1016/j.nuclphysb.2016.08.007",

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AB - 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 [Chernyavsky and Galajinsky (2016) [35]] is extended to construct the Einstein metrics with the l-conformal Galilei isometry group.

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Coset spaces and Einstein manifolds with l-conformal Galilei symmetry

Abstract

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