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arXiv · 1406.0572

Discrete canonical analysis of three dimensional gravity with cosmological constant

J. Berra-Montiel·J. E. Rosales-Quintero
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Abstract

We discuss the interplay between standard canonical analysis and canonical discretization in three-dimensional gravity with cosmological constant. By using the Hamiltonian analysis, we find that the continuum local symmetries of the theory are given by the on-shell space-time diffeomorphisms, which at the action level, corresponds to the Kalb-Ramond transformations. At the time of discretization, although this symmetry is explicitly broken, we prove that the theory still preserves certain gauge freedom generated by a constant curvature relation in terms of holonomies and the Gauss's law in the lattice approach.

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J. Berra-Montiel, J. E. Rosales-Quintero. 2014-06-03. Discrete canonical analysis of three dimensional gravity with cosmological constant. https://doi.org/10.1142/s0217751x15500803

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