The Quantum Hall Effect on R^4
| dc.creator | Elvang, Henriette | |
| dc.creator | Polchinski, Joseph | |
| dc.date | 2002-09-12 | |
| dc.date | 2002-09-12 | |
| dc.date.accessioned | 2026-07-07T04:14:07Z | |
| dc.date.available | 2026-07-07T04:14:07Z | |
| dc.description | Zhang and Hu have formulated an SU(2) quantum Hall system on the four-sphere, with interesting three-dimensional boundary dynamics including gapless states of nonzero helicity. In order to understand the local physics of their model we study the U(1) and SU(2) quantum Hall systems on flat R^4, with flat boundary R^3. In the U(1) case the boundary dynamics is essentially one dimensional. The SU(2) theory can be formulated on R^4 for any isospin I, but in order to obtain a flat boundary theory we must take I \to \infty as in Zhang and Hu. The theory simplifies in the limit, the boundary becoming a collection of one-dimensional systems. We also discuss general constraints on the emergence of gravity from nongravitational field theories. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0209104 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0209104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51505 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Condensed Matter | |
| dc.title | The Quantum Hall Effect on R^4 | |
| dc.type | text |