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, correspond 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%27s law in the lattice approach. © 2015 World Scientific Publishing Company.
• 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, correspond 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. © 2015 World Scientific Publishing Company.

authors

• Berra Montiel Oscar Jasel
• Rosales-Quintero J.E.

publication date

• 2015-01-01

published in

• International Journal of Modern Physics A  Journal

keywords

• canonical analysis; canonical discretization; Three-dimensional gravity

Digital Object Identifier (DOI)

• 10.1142/S0217751X15500803

start page

end page

volume

• 30

issue

• 15