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Dolan, Brian P. (2006) Duality in Supersymmetric Yang-Mills and the Quantum Hall effect. Modern Physics Letters A, 21 (20). pp. 1567-1585. ISSN 0217-7323
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Abstract
The evidence for the paralled roles played by the modular group in N=2 supersymmetric Yang-Mills in (3+1) dimensions and the quantum Hall effect in (2+1) dimensions is reviewed. In both cases a subgroup of the full modular group acts as a map between different low energy phases of the theory, parametrised by a complex parameter in the upper-half-complex plane whose real part is a topological parameter and whose imaginary part is the coupling associated the kinetic term of the effective U(1) gauge theory. In the case of the quantum Hall effect experimental evidence in favour of the modular action is also reviewed.
| Item Type: | Article |
|---|---|
| Keywords: | Duality; supersymmetry; quantum Hall effect; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 4241 |
| Depositing User: | Dr. Brian Dolan |
| Date Deposited: | 11 Mar 2013 15:17 |
| Journal or Publication Title: | Modern Physics Letters A |
| Publisher: | World Scientific Journals |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/4241 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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