J E Nelson 2004 Class. Quantum Grav. 21 S249 doi:10.1088/0264-9381/21/3/015
J E Nelson
Show affiliationsThe extended conformal algebra so(2, 3) of global, quantum, constants of motion in (2+1)-dimensional gravity with topology R × T2 and negative cosmological constant is reviewed. It is shown that the ten global constants form a complete set by expressing them in terms of two commuting spinors and the Dirac γ matrices. The spinor components are the globally constant holonomy parameters, and their respective spinor norms are their quantum commutators.
04.60.Kz Lower dimensional models; minisuperspace models
83C45 Quantization of the gravitational field
81Q70 Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.
Issue 3 (7 February 2004)
Received 21 October 2003
Published 13 January 2004
J E Nelson 2004 Class. Quantum Grav. 21 S249
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