An invariant approach to dynamical fuzzy spaces with a three-index variable -- Euclidean models
| dc.creator | Sasakura, Naoki | |
| dc.date | 2005-11-15 | |
| dc.date | 2005-12-07 | |
| dc.date.accessioned | 2026-07-07T06:50:20Z | |
| dc.date.available | 2026-07-07T06:50:20Z | |
| dc.description | A dynamical fuzzy space might be described in terms of a dynamical three-index variable C_{ab}^c, which determines the algebraic relations f_a f_b =C_{ab}^c f_c of the functions f_a on a fuzzy space. A fuzzy analogue of the general coordinate transformation would be given by the general linear transformation on f_a. The solutions to the invariant equations of motion of C_{ab}^c can be generally constructed from the invariant tensors of Lie groups. Euclidean models the actions of which are bounded from below are introduced. Lie group symmetric solutions to a class of Euclidean model are obtained. The analysis of the fluctuations around the SO(3) symmetric solution shows that the solution can be regarded as a fuzzy S^2/Z_2. | |
| dc.description | Typos, 15 pages, 5 eps figures, Latex, Submitted to the Proceedings of the 4th International Symposium "Quantum Theory and Symmetries" (QTS-4), 15-21 August 2005, Varna, Bulgaria | |
| dc.identifier | https://arxiv.org/abs/hep-th/0511154 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0511154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104640 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | An invariant approach to dynamical fuzzy spaces with a three-index variable -- Euclidean models | |
| dc.type | text |