Abstract. The 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.

PACS numbers: 04.60.Kz, 04.60.Ds

Print publication: Issue 3 (7 February 2004)
Received 21 October 2003
Published 13 January 2004