Algebraic analysis of a model of two-dimensional gravity

Details Algebraic analysis of a model of two-dimensional gravity Algebraic analysis of a model of two-dimensional gravity

2009-01-22

arxiv.org/abs/0901.3575v2

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, to appear in General Relativity and Gravitation

Scientific paper

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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