The Matrix Chern-Simons One-form as a Universal Chern-Simons Theory
| 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 | We consider different large ${\cal N}$ limits of the one-dimensional Chern-Simons action $i\int dt~ \Tr (\del_0 +A_0)$ where $A_0$ is an ${\cal N}\times{\cal N}$ antihermitian matrix. The Hilbert space on which $A_0$ acts as a linear transformation is taken as the quantization of a $2k$-dimensional phase space ${\cal M}$ with different gauge field backgrounds. For slowly varying fields, the large ${\cal N}$ limit of the one-dimensional CS action is equal to the $(2k+1)$-dimensional CS theory on ${\cal M}\times {\bf R}$. Different large ${\cal N}$ limits are parametrized by the gauge fields and the dimension $2k$. The result is related to the bulk action for quantum Hall droplets in higher dimensions. Since the isometries of ${\cal M}$ are gauged, this has implications for gravity on fuzzy spaces. This is also briefly discussed. | |
| dc.description | 37 pages, references and a comment added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0605007 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0605007 | |
| dc.identifier | Nucl.Phys.B750:289-320,2006 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.06.002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183265 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Matrix Chern-Simons One-form as a Universal Chern-Simons Theory | |
| dc.type | text |