2014/06/03 by J. Berra-Montiel, J. E. Rosales-Quintero
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1142/s0217751x15500803
published as International Journal of Modern Physics A. Vol 30 (2015) · 19 pages, 1 figure. arXiv admin note: text overlap with arXiv:1310.3759, arXiv:gr-qc/0512065, arXiv:1111.1879 by other authors
arxiv created 2014/06/03 · arxiv updated 2015/05/19
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.