| Автор | Kiyoshi Ezawa |
| Дата выпуска | 1995-02-01 |
| dc.description | The Chern-Simons formulation of (2+1)-dimensional Einstein gravity with a negative cosmological constant is investigated when the spacetime has the topology . The physical phase space is shown to be a direct product of two sub-phase spaces each of which is a non-Hausdorff manifold plus a set with non-zero co-dimensions. The spacetime geometrical interpretation of each point in the phase space is also given and we explain the 1 to 2 correspondence with the ADM formalism from the geometrical viewpoint. In quantizing this theory, we construct a `modified phase space' which is a cotangent bundle on a torus. We also provide a modular invariant inner product and investigate the relation to the quantum theory which is directly related to the spinor representation of the ADM formalism. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Chern-Simons quantization of (2+1)-anti-de Sitter gravity on a torus |
| Тип | paper |
| DOI | 10.1088/0264-9381/12/2/007 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 12 |
| Первая страница | 373 |
| Последняя страница | 391 |
| Аффилиация | Kiyoshi Ezawa; Department of Physics, Osaka University, Toyonaka, Osaka 560, Japan |
| Выпуск | 2 |
