Details
| Original language | English |
|---|---|
| Pages (from-to) | 258-268 |
| Number of pages | 11 |
| Journal | Progress of Theoretical Physics Supplement |
| Issue number | 171 |
| Publication status | Published - 2007 |
Abstract
We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces ℝ2nθ × 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 ℝ2nθ × G/H. The U(k) Donaldson-Uhlenbeck-Yau equations on these spaces reduce to vortex-type equations in a particular quiver gauge theory on ℝ2nθ. 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 DO-branes inside a space-filling brane-antibrane system.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Progress of Theoretical Physics Supplement, No. 171, 2007, p. 258-268.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quiver gauge theory and noncommutative vortices
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Szabo, Richard J.
N1 - Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2007
Y1 - 2007
N2 - We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces ℝ2nθ × 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 ℝ2nθ × G/H. The U(k) Donaldson-Uhlenbeck-Yau equations on these spaces reduce to vortex-type equations in a particular quiver gauge theory on ℝ2nθ. 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 DO-branes inside a space-filling brane-antibrane system.
AB - We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces ℝ2nθ × 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 ℝ2nθ × G/H. The U(k) Donaldson-Uhlenbeck-Yau equations on these spaces reduce to vortex-type equations in a particular quiver gauge theory on ℝ2nθ. 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 DO-branes inside a space-filling brane-antibrane system.
UR - http://www.scopus.com/inward/record.url?scp=44249123303&partnerID=8YFLogxK
U2 - 10.1143/PTPS.171.258
DO - 10.1143/PTPS.171.258
M3 - Article
AN - SCOPUS:44249123303
SP - 258
EP - 268
JO - Progress of Theoretical Physics Supplement
JF - Progress of Theoretical Physics Supplement
SN - 0375-9687
IS - 171
ER -