Publication Type |
Manuscript |
School or College |
College of Science |
Department |
Physics |
Creator |
Wu, Yong-Shi |
Other Author |
Chen, Guang-Hong |
Title |
On gauge invariance of noncommutative Chern-Simons theories |
Date |
2002-05 |
Description |
Motivated by possible applications to condensed matter systems, in this paper we construct U(N) noncommutative Chern-Simons (NCCS) action for a disc and for a double-layer geometry, respectively. In both cases, gauge invariance severely constrains the form of the NCCS action. In the first case, it is necessary to introduce a group-valued boson field with a non-local chiral boundary action, whose gauge variation cancels that of the bulk action. In the second case, the coefficient matrix K in the double U(N) NCCS action is restricted to be of the form K = k (1 1) ( 1 1) with integer k. We suggest that this double NCCS theory with U(1) gauge group describes the so-called Halperin (kkk) state in a double-layer quantum Hall system. Possible physical consequences are addressed. |
Type |
Text |
Publisher |
Elsevier |
Journal Title |
Nuclear Physics B |
Volume |
628 |
Issue |
3 |
First Page |
473 |
Last Page |
485 |
DOI |
10.1016/S0550-3213(02)00094-9 |
citatation_issn |
5503213 |
Language |
eng |
Bibliographic Citation |
Chen, G.-H., & Wu, Y.-S. (2002). On gauge invariance of noncommutative Chern-Simons theories. Nuclear Physics B, 628(3), 1-20. |
Rights Management |
(c) Elsevier http://dx.doi.org/10.1016/S0550-3213(02)00094-9 |
Format Medium |
application/pdf |
Format Extent |
167,939 bytes |
Identifier |
ir-main,9431 |
ARK |
ark:/87278/s6m90t1k |
Setname |
ir_uspace |
ID |
705018 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6m90t1k |