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arxiv: 0901.3575 · v2 · pith:FYG7N7DBnew · submitted 2009-01-22 · ✦ hep-th

Algebraic analysis of a model of two-dimensional gravity

classification ✦ hep-th
keywords hamiltonianalgebraalgebraicanalysisformulationgravitymodeltwo-dimensional
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An algebraic analysis of the Hamiltonian formulation of the model two-dimensional gravity is performed. The crucial fact is an exact coincidence of the Poisson brackets algebra of the secondary constraints of this Hamiltonian formulation with the SO(2,1)-algebra. The eigenvectors of the canonical Hamiltonian $H_{c}$ are obtained and explicitly written in closed form.

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