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.
Global constants in (2+1)-dimensional gravity
NELSON, Jeanette Ethel
2004-01-01
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.
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