## Abstract

We construct explicit Bogomolnyi, Prasad, Sommerfeld (BPS) and non-BPS solutions of the Yang-Mills equations on the noncommutative space R? 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 R? 2n × S2 and non-Abelian vortices on R? 2n, which can be interpreted as a blowing-up of a chain of D0 -branes on R? 2n into a chain of spherical D2 -branes on R? 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. © 2006 American Institute of Physics.

Original language | English |
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Pages (from-to) | 1-42 |

Number of pages | 42 |

Journal | Journal of Mathematical Physics |

Volume | 47 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 2006 |