Quiver Gauge Theory and Noncommutative Vortices
| dc.creator | Lechtenfeld, Olaf | |
| dc.creator | Popov, Alexander D. | |
| dc.creator | Szabo, Richard J. | |
| dc.date | 2007-06-07 | |
| dc.date.accessioned | 2026-07-07T11:41:15Z | |
| dc.date.available | 2026-07-07T11:41:15Z | |
| dc.description | We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces R^{2n}_theta x G/H which are manifestly G-symmetric. Given a G-representation, by twisting with a particular bundle over G/H, we obtain a G-equivariant U(k) bundle with a G-equivariant connection over R^{2n}_theta x G/H. The U(k) Donaldson-Uhlenbeck-Yau equations on these spaces reduce to vortex-type equations in a particular quiver gauge theory on R^{2n}_theta. Seiberg-Witten monopole equations are particular examples. The noncommutative BPS configurations are formulated with partial isometries, which are obtained from an equivariant Atiyah-Bott-Shapiro construction. They can be interpreted as D0-branes inside a space-filling brane-antibrane system. | |
| dc.description | talk by O.L. at the 21st Nishinomiya-Yukawa Memorial Symposium, Kyoto, 15 Nov. 2006 | |
| dc.identifier | https://arxiv.org/abs/0706.0979 | |
| dc.identifier | http://arxiv.org/abs/0706.0979 | |
| dc.identifier | Prog.Theor.Phys.Suppl.171:258-268,2007 | |
| dc.identifier | doi:10.1143/PTPS.171.258 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200471 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quiver Gauge Theory and Noncommutative Vortices | |
| dc.type | text |