Deconstructing Monopoles and Instantons
| dc.creator | Landi, Giovanni | |
| dc.date | 1998-12-03 | |
| dc.date | 1999-01-05 | |
| dc.date.accessioned | 2026-07-07T04:32:37Z | |
| dc.date.available | 2026-07-07T04:32:37Z | |
| dc.description | We give a unifying description of the Dirac monopole on the 2-sphere $S^2$, of a graded monopole on a (2,2)-supersphere $S^{2,2}$ and of the BPST instanton on the 4-sphere $S^4$, by constructing a suitable global projector $p$ via equivariant maps. This projector determines the projective module of finite type of sections of the corresponding vector bundle. The canonical connection $\nabla = p \circ d$ is used to compute the topological charge which is found to be equal to -1 for the three cases. The transposed projector $q=p^t$ gives the value +1 for the charges; this showing that transposition of projectors, although an isomorphism in $K$-theory, is not the identity map. We also study the invariance under the action of suitable Lie groups. | |
| dc.description | latex, 23 pages (one additional page). Additional material at the end of Section 2. and a reference added. Several minor additions throughout the paper | |
| dc.identifier | https://arxiv.org/abs/math-ph/9812004 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9812004 | |
| dc.identifier | Rev.Math.Phys. 12 (2000) 1367-1390 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58255 | |
| dc.subject | Mathematical Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Deconstructing Monopoles and Instantons | |
| dc.type | text |