Topological Lattice Gravity Using Self-Dual Variables
| dc.creator | Zapata, Jose A. | |
| dc.date | 1996-03-20 | |
| dc.date.accessioned | 2026-07-07T10:57:55Z | |
| dc.date.available | 2026-07-07T10:57:55Z | |
| dc.description | Topological gravity is the reduction of general relativity to flat space-times. A lattice model describing topological gravity is developed starting from a Hamiltonian lattice version of $B\w F$ theory. The extra symmetries not present in gravity that kill the local degrees of freedom in $B\wedge F$ theory are removed. The remaining symmetries preserve the geometrical character of the lattice. Using self-dual variables, the conditions that guarantee the geometricity of the lattice become reality conditions. The local part of the remaining symmetry generators, that respect the geometricity-reality conditions, has the form of Ashtekar's constraints for GR. Only after constraining the initial data to flat lattices and considering the non-local (plus local) part of the constraints does the algebra of the symmetry generators close. A strategy to extend the model for non-flat connections and quantization are discussed. | |
| dc.description | 22 pages, revtex, no figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9603030 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9603030 | |
| dc.identifier | Class.Quant.Grav.13:2617-2634,1996 | |
| dc.identifier | doi:10.1088/0264-9381/13/10/003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186920 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Topological Lattice Gravity Using Self-Dual Variables | |
| dc.type | text |