THE PAULI-LUBANSKI SCALAR IN THE POLYGON APPROACH TO (2-DIMENSIONAL GRAVITY(1))

Authors
WELLING M BIJLSMA M
Citation
M. Welling et M. Bijlsma, THE PAULI-LUBANSKI SCALAR IN THE POLYGON APPROACH TO (2-DIMENSIONAL GRAVITY(1)), Classical and quantum gravity, 13(7), 1996, pp. 1769-1774
Citations number
11
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
13
Issue
7
Year of publication
1996
Pages
1769 - 1774
Database
ISI
SICI code
0264-9381(1996)13:7<1769:TPSITP>2.0.ZU;2-E
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 Delta in addition to the usual identification rule (bei ng a rotation over the cut). For two particles this invariant is expre ssed in terms of 't Hooft's phase-space variables and we check its cla ssical limit.