Abstract
We study noncommutative vortex solutions that minimize the action functional of the Abelian Higgs model in 2-dimensional noncommutative Euclidean space. We first consider vortex solutions which are deformed from solutions defined on commutative Euclidean space to the noncommutative one. We construct solutions whose vortex numbers are unchanged under the noncommutative deformation. Another class of noncommutative vortex solutions via a Fock space representation is also studied.
| Original language | English |
|---|---|
| Pages (from-to) | 967-978 |
| Number of pages | 12 |
| Journal | Journal of Geometry and Physics |
| Volume | 58 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2008 Aug |
| Externally published | Yes |
Keywords
- Abelian-Higgs model
- Noncommutative geometry
- Vortex
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology