Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 012306 |
| Fachzeitschrift | Journal of mathematical physics |
| Jahrgang | 47 |
| Ausgabenummer | 1 |
| Frühes Online-Datum | 31 Jan. 2006 |
| Publikationsstatus | Veröffentlicht - Jan. 2006 |
Abstract
We construct explicit Bogomolnyi, Prasad, Sommerfeld (BPS) and non-BPS solutions of the Yang-Mills equations on the noncommutative space Rθ 2n × S2 which have manifest spherical symmetry. Using SU(2)-equivariant dimensional reduction techniques, we show that the solutions imply an equivalence between instantons on Rθ 2n × S2 and non-Abelian vortices on Rθ 2n, which can be interpreted as a blowing-up of a chain of D0 -branes on Rθ 2n into a chain of spherical D2 -branes on Rθ 2n × S2. The low-energy dynamics of these configurations is described by a quiver gauge theory which can be formulated in terms of new geometrical objects generalizing superconnections. This formalism enables the explicit assignment of D0 -brane charges in equivariant K -theory to the instanton solutions.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Statistische und nichtlineare Physik
- Mathematik (insg.)
- Mathematische Physik
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in: Journal of mathematical physics, Jahrgang 47, Nr. 1, 012306, 01.2006.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Quiver gauge theory of non-Abelian vortices and noncommutative instantons in higher dimensions
AU - Popov, Alexander D.
AU - Szabo, Richard J.
PY - 2006/1
Y1 - 2006/1
N2 - We construct explicit Bogomolnyi, Prasad, Sommerfeld (BPS) and non-BPS solutions of the Yang-Mills equations on the noncommutative space Rθ 2n × S2 which have manifest spherical symmetry. Using SU(2)-equivariant dimensional reduction techniques, we show that the solutions imply an equivalence between instantons on Rθ 2n × S2 and non-Abelian vortices on Rθ 2n, which can be interpreted as a blowing-up of a chain of D0 -branes on Rθ 2n into a chain of spherical D2 -branes on Rθ 2n × S2. The low-energy dynamics of these configurations is described by a quiver gauge theory which can be formulated in terms of new geometrical objects generalizing superconnections. This formalism enables the explicit assignment of D0 -brane charges in equivariant K -theory to the instanton solutions.
AB - We construct explicit Bogomolnyi, Prasad, Sommerfeld (BPS) and non-BPS solutions of the Yang-Mills equations on the noncommutative space Rθ 2n × S2 which have manifest spherical symmetry. Using SU(2)-equivariant dimensional reduction techniques, we show that the solutions imply an equivalence between instantons on Rθ 2n × S2 and non-Abelian vortices on Rθ 2n, which can be interpreted as a blowing-up of a chain of D0 -branes on Rθ 2n into a chain of spherical D2 -branes on Rθ 2n × S2. The low-energy dynamics of these configurations is described by a quiver gauge theory which can be formulated in terms of new geometrical objects generalizing superconnections. This formalism enables the explicit assignment of D0 -brane charges in equivariant K -theory to the instanton solutions.
UR - http://www.scopus.com/inward/record.url?scp=31644444373&partnerID=8YFLogxK
U2 - 10.1063/1.2157005
DO - 10.1063/1.2157005
M3 - Article
AN - SCOPUS:31644444373
VL - 47
JO - Journal of mathematical physics
JF - Journal of mathematical physics
SN - 0022-2488
IS - 1
M1 - 012306
ER -