Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
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 independ...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-10-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321316302371 |
| Summary: | 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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| ISSN: | 0550-3213 1873-1562 |