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arXiv · hep-th/9904192

Massive $4d$ particle with torsion and conformal mechanics

A. Nersessian
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Abstract

The consequences of coupling of the torsion (highest curvature) term to the Lagrangian of a massive spinless particle in four-dimensional space-time are studied. It is shown that the modified system remains spinless and possesses extended gauge invariance. Though the torsion term does not generate spin, it provides the system with a nontrivial mass spectrum, described by one-dimensional conformal mechanics. Under an appropriate choise of characteristic constants the system has solutions with a discrete mass spectrum.

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A. Nersessian. 1999-12-06. Massive $4d$ particle with torsion and conformal mechanics. https://doi.org/10.1016/s0370-2693(99)01426-4

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