Details
| Original language | English |
|---|---|
| Article number | 093 |
| Journal | Journal of high energy physics |
| Volume | 2008 |
| Issue number | 8 |
| Publication status | Published - 1 Aug 2008 |
Abstract
We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M × SU(3)/H, with H = SU(2) × U(1) or H = U(1) × U(1). The induced rank two quiver gauge theories on M are worked out in detail for representations of H which descend from a generic irreducible SU(3)-representation. The reduction of the Donaldson-Uhlenbeck-Yau equations on these spaces induces nonabelian quiver vortex equations on M, which we write down explicitly. When M is a noncommutative deformation of the space d, we construct explicit BPS and non-BPS solutions of finite energy for all cases. We compute their topological charges in three different ways and propose a novel interpretation of the configurations as states of D-branes. Our methods and results generalize from SU(3) to any compact Lie group.
Keywords
- Field theories in higher dimensions, Integrable field theories, Non-Commutative geometry, Solitons monopoles and Instantons
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2008, No. 8, 093, 01.08.2008.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - SU(3)-equivariant quiver gauge theories and nonabelian vortices
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Szabo, Richard J.
N1 - Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2008/8/1
Y1 - 2008/8/1
N2 - We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M × SU(3)/H, with H = SU(2) × U(1) or H = U(1) × U(1). The induced rank two quiver gauge theories on M are worked out in detail for representations of H which descend from a generic irreducible SU(3)-representation. The reduction of the Donaldson-Uhlenbeck-Yau equations on these spaces induces nonabelian quiver vortex equations on M, which we write down explicitly. When M is a noncommutative deformation of the space d, we construct explicit BPS and non-BPS solutions of finite energy for all cases. We compute their topological charges in three different ways and propose a novel interpretation of the configurations as states of D-branes. Our methods and results generalize from SU(3) to any compact Lie group.
AB - We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M × SU(3)/H, with H = SU(2) × U(1) or H = U(1) × U(1). The induced rank two quiver gauge theories on M are worked out in detail for representations of H which descend from a generic irreducible SU(3)-representation. The reduction of the Donaldson-Uhlenbeck-Yau equations on these spaces induces nonabelian quiver vortex equations on M, which we write down explicitly. When M is a noncommutative deformation of the space d, we construct explicit BPS and non-BPS solutions of finite energy for all cases. We compute their topological charges in three different ways and propose a novel interpretation of the configurations as states of D-branes. Our methods and results generalize from SU(3) to any compact Lie group.
KW - Field theories in higher dimensions
KW - Integrable field theories
KW - Non-Commutative geometry
KW - Solitons monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=54749120435&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2008/08/093
DO - 10.1088/1126-6708/2008/08/093
M3 - Article
AN - SCOPUS:54749120435
VL - 2008
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 8
M1 - 093
ER -