Details
| Original language | English |
|---|---|
| Article number | 054 |
| Journal | Journal of high energy physics |
| Volume | 2006 |
| Issue number | 9 |
| Publication status | Published - 1 Sept 2006 |
Abstract
We consider equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M × ℂP1 × ℂP1. This induces a rank two quiver gauge theory on M which can be formulated as a Yang-Mills theory of graded connections on M. The reduction of the Yang-Mills equations on M × ℂP1 × ℂP1 induces quiver gauge theory equations on M and quiver vortex equations in the BPS sector. When M is the noncommutative space ℝθ2n both BPS and non-BPS solutions are obtained, and interpreted as states of D-branes. Using the graded connection formalism, we assign D0-brane charges in equivariant K-theory to the quiver vortex configurations. Some categorical properties of these quiver brane configurations are also described in terms of the corresponding quiver representations.
Keywords
- Brane Dynamics in Gauge 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. 2006, No. 9, 054, 01.09.2006.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Rank two quiver gauge theory, graded connections and noncommutative vortices
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Szabo, Richard J.
N1 - Copyright: Copyright 2006 Elsevier B.V., All rights reserved.
PY - 2006/9/1
Y1 - 2006/9/1
N2 - We consider equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M × ℂP1 × ℂP1. This induces a rank two quiver gauge theory on M which can be formulated as a Yang-Mills theory of graded connections on M. The reduction of the Yang-Mills equations on M × ℂP1 × ℂP1 induces quiver gauge theory equations on M and quiver vortex equations in the BPS sector. When M is the noncommutative space ℝθ2n both BPS and non-BPS solutions are obtained, and interpreted as states of D-branes. Using the graded connection formalism, we assign D0-brane charges in equivariant K-theory to the quiver vortex configurations. Some categorical properties of these quiver brane configurations are also described in terms of the corresponding quiver representations.
AB - We consider equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M × ℂP1 × ℂP1. This induces a rank two quiver gauge theory on M which can be formulated as a Yang-Mills theory of graded connections on M. The reduction of the Yang-Mills equations on M × ℂP1 × ℂP1 induces quiver gauge theory equations on M and quiver vortex equations in the BPS sector. When M is the noncommutative space ℝθ2n both BPS and non-BPS solutions are obtained, and interpreted as states of D-branes. Using the graded connection formalism, we assign D0-brane charges in equivariant K-theory to the quiver vortex configurations. Some categorical properties of these quiver brane configurations are also described in terms of the corresponding quiver representations.
KW - Brane Dynamics in Gauge Theories
KW - Non-Commutative Geometry
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=33749412373&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2006/09/054
DO - 10.1088/1126-6708/2006/09/054
M3 - Article
AN - SCOPUS:33749412373
VL - 2006
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 9
M1 - 054
ER -