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Pauli-Lubanski scalar in the Polygon Approach to 2+1-Dimensional Gravity

M. Welling·M. Bijlsma
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Abstract

In this paper we derive an expression for the conserved Pauli-Lubanski scalar in 't Hooft's polygon approach to 2+1-dimensional gravity coupled to point particles. We find that it is represented by an extra spatial shift $Δ$ in addition to the usual identification rule (being a rotation over the cut). For two particles this invariant is expressed in terms of 't Hooft's phase-space variables and we check its classical limit.

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M. Welling, M. Bijlsma. 1996-06-06. Pauli-Lubanski scalar in the Polygon Approach to 2+1-Dimensional Gravity. https://doi.org/10.1088/0264-9381%2F13%2F7%2F010

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