Bosonization of the lowest Landau level in arbitrary dimensions: edge and bulk dynamics
| dc.creator | Karabali, Dimitra | |
| dc.date | 2006-04-29 | |
| dc.date | 2006-06-19 | |
| dc.date.accessioned | 2026-07-07T10:46:32Z | |
| dc.date.available | 2026-07-07T10:46:32Z | |
| dc.description | We discuss the bosonization of nonrelativistic fermions interacting with non-Abelian gauge fields in the lowest Landau level in the framework of higher dimensional quantum Hall effect. The bosonic action is a one-dimensional matrix action, which can also be written as a noncommutative field theory, invariant under $W_N$ transformations. The requirement that the usual gauge transformation should be realized as a $W_N$ transformation provides an analog of a Seiberg-Witten map, which allows us to express the action purely in terms of bosonic fields. The semiclassical limit of this, describing the gauge interactions of a higher dimensional, non-Abelian quantum Hall droplet, produces a bulk Chern-Simons type term whose anomaly is exactly cancelled by a boundary term given in terms of a gauged Wess-Zumino-Witten action. | |
| dc.description | 29 pages ; typos corrected, two references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0605006 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0605006 | |
| dc.identifier | Nucl.Phys.B750:265-288,2006 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.05.030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183264 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Bosonization of the lowest Landau level in arbitrary dimensions: edge and bulk dynamics | |
| dc.type | text |