Constants of motion and the conformal anti - de Sitter algebra in (2+1)-Dimensional Gravity

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dc.creatorMoncrief, V.
dc.creatorNelson, J. E.
dc.date1997-07-15
dc.date.accessioned2026-07-07T10:57:56Z
dc.date.available2026-07-07T10:57:56Z
dc.descriptionConstants of motion are calculated for 2+1 dimensional gravity with topology R x T^2 and negative cosmological constant. Certain linear combinations of them satisfy the anti - de Sitter algebra so(2,2) in either ADM or holonomy variables. Quantisation is straightforward in terms of the holonomy parameters. On inclusion of the Hamiltonian three new global constants are derived and the quantum algebra extends to that of the conformal algebra so(2,3). The modular group appears as a discrete subgroup of the conformal group. Its quantum action is generated by these conserved quantities.
dc.description22 pages, Plain Tex, No Figures
dc.identifierhttps://arxiv.org/abs/gr-qc/9707032
dc.identifierhttp://arxiv.org/abs/gr-qc/9707032
dc.identifierInt.J.Mod.Phys.D6:545-562,1997
dc.identifierdoi:10.1142/S0218271897000339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186928
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleConstants of motion and the conformal anti - de Sitter algebra in (2+1)-Dimensional Gravity
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