Noncommutative instantons from twisted conformal symmetries
| dc.creator | Landi, Giovanni | |
| dc.creator | van Suijlekom, Walter D. | |
| dc.date | 2006-01-23 | |
| dc.date | 2007-01-30 | |
| dc.date.accessioned | 2026-07-07T10:46:40Z | |
| dc.date.available | 2026-07-07T10:46:40Z | |
| dc.description | We construct a five-parameter family of gauge-nonequivalent SU(2) instantons on a noncommutative four sphere $S_θ^4$ and of topological charge equal to -1. These instantons are critical points of a gauge functional and satisfy self-duality equations with respect to a Hodge star operator on forms on $S_θ^4$. They are obtained by acting with a twisted conformal symmetry on a basic instanton canonically associated with a noncommutative instanton bundle on the sphere. A completeness argument for this family is obtained by means of index theorems. The dimension of the ``tangent space'' to the moduli space is computed as the index of a twisted Dirac operator and turns out to be equal to five, a number that survives deformation. | |
| dc.description | 47 pages. Latex. v3; major changes, parts rewritten. Published in CMP | |
| dc.identifier | https://arxiv.org/abs/math/0601554 | |
| dc.identifier | http://arxiv.org/abs/math/0601554 | |
| dc.identifier | Commun.Math.Phys.271:591-634,2007 | |
| dc.identifier | doi:10.1007/s00220-006-0174-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183314 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Noncommutative instantons from twisted conformal symmetries | |
| dc.type | text |