Remarks on Multi-Dimensional Conformal Mechanics
Cestmir Burdik, Armen Nersessian
TL;DR
This paper explores the classical version of a recent group-theoretical transformation in conformal mechanics, linking it to the Weil model of Lobachevsky space to deepen understanding of conformal-invariant systems.
Contribution
It establishes a connection between a recent transformation in conformal mechanics and the Weil model of Lobachevsky space, offering new geometric insights.
Findings
The classical counterpart of the transformation is related to the Weil model of Lobachevsky space.
Provides a geometric interpretation of conformal-invariant mechanics transformations.
Enhances understanding of the structure of conformal mechanics through geometric models.
Abstract
Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, we relate this transformation with the Weil model of Lobachewsky space.
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