Families of Monads and Instantons from a Noncommutative ADHM Construction
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Brain, Simon | en_US |
| dc.contributor.author | Landi, Giovanni | en_US |
| dc.contributor.department | Mathematical Physics | en_US |
| dc.date.accessioned | 2009-02-03T16:03:43Z | en_US |
| dc.date.accessioned | 2011-09-07T20:20:50Z | |
| dc.date.available | 2009-02-03T16:03:43Z | en_US |
| dc.date.available | 2011-09-07T20:20:50Z | |
| dc.date.issued | 2009-02-03T16:03:43Z | en_US |
| dc.description.abstract | We give a \theta-deformed version of the ADHM construction of SU(2) instantons with arbitrary topological charge on the sphere S^4. Classically the instanton gauge fields are constructed from suitable monad data; we show that in the deformed case the set of monads is itself a noncommutative space. We use these monads to construct noncommutative `families' of SU(2) instantons on the deformed sphere S^4_\theta. We also compute the topological charge of each of the families. Finally we discuss what it means for such families to be gauge equivalent. | en_US |
| dc.format.extent | 343656 bytes | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/3478 | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | SISSA;59/2008/FM | en_US |
| dc.relation.ispartofseries | arXiv.org;0901.0772 | en_US |
| dc.title | Families of Monads and Instantons from a Noncommutative ADHM Construction | en_US |
| dc.type | Preprint | en_US |