### Abstract

We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces R^{2n}_{?} × 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}_{?} × 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}_{?}. 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.

Original language | English |
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Pages (from-to) | 258-268 |

Number of pages | 11 |

Journal | Progress of Theoretical Physics Supplements |

Issue number | 171 |

Publication status | Published - 2007 |

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## Cite this

*Progress of Theoretical Physics Supplements*, (171), 258-268.