The Chern-Simons One-form and Gravity on a Fuzzy Space
| dc.creator | Nair, V. P. | |
| dc.date | 2006-04-29 | |
| dc.date | 2006-05-20 | |
| dc.date.accessioned | 2026-07-07T10:46:32Z | |
| dc.date.available | 2026-07-07T10:46:32Z | |
| dc.description | The one-dimensional ${\cal N}\times {\cal N}$-matrix Chern-Simons action is given, for large ${\cal N}$ and for slowly varying fields, by the $(2k+1)$-dimensional Chern-Simons action $S_{CS}$, where the gauge fields in $S_{CS}$ parametrize the different ways in which the large ${\cal N}$ limit can be taken. Since some of these gauge fields correspond to the isometries of the space, we argue that gravity on fuzzy spaces can be described by the one-dimensional matrix Chern-Simons action at finite ${\cal N}$ and by the higher dimensional Chern-Simons action when the fuzzy space is approximated by a continuous manifold. | |
| dc.description | 16 pages, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0605008 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0605008 | |
| dc.identifier | Nucl.Phys.B750:321-333,2006 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.06.009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183266 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Chern-Simons One-form and Gravity on a Fuzzy Space | |
| dc.type | text |