The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
| dc.creator | Susskind, L. | |
| dc.date | 2001-01-04 | |
| dc.date | 2001-01-14 | |
| dc.date.accessioned | 2026-07-25T20:57:41Z | |
| dc.description | The first part of this paper is a review of the author's work with S. Bahcall which gave an elementary derivation of the Chern Simons description of the Quantum Hall effect for filling fraction $1/n$. The notation has been modernized to conform with standard gauge theory conventions. In the second part arguments are given to support the claim that abelian non-commutative Chern Simons theory at level $n$ is exactly equivalent to the Laughlin theory at filling fraction $1/n$. The theory may also be formulated as a matrix theory similar to that describing D0-branes in string theory. Finally it can also be thought of as the quantum theory of mappings between two non-commutative spaces, the first being the target space and the second being the base space. | |
| dc.description | 25 pages, references added, quasiparticle solutions given for arbitrary filling fraction | |
| dc.identifier | https://arxiv.org/abs/hep-th/0101029 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0101029 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/74796 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Quantum Hall Fluid and Non-Commutative Chern Simons Theory | |
| dc.type | text |