### Abstract

An anti-self-dual instanton solution in Yang-Mills theory on noncommutative ℝ^{4} with an anti-self-dual noncommutative parameter is constructed. The solution is constructed by the ADHM construction and it can be treated in the framework of the IIB matrix model. In the IIB matrix model, this solution is interpreted as a system of a Dp-brane and D(p + 4)-branes, with the Dp-brane dissolved in the worldvolume of the D(p + 4)-branes. The solution has a parameter that characterises the size of the instanton. The zero of this parameter corresponds to the singularity of the moduli space. At this point, the solution is continuously connected to another solution which can be interpreted as a system of a Dp-brane and D(p + 4)-branes, with the Dp-brane separated from the D(p + 4)-branes. It is shown that even when the parameter of the solution comes to the singularity of the moduli space, the gauge field itself is non-singular. The appearances of the instanton position parameter in various gauges is studied. A class of multi-instanton solutions is also constructed.

Original language | English |
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Journal | Journal of High Energy Physics |

Volume | 5 |

Issue number | 3 |

Publication status | Published - 2001 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

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*Journal of High Energy Physics*, vol. 5, no. 3.

**Dp-D (p + 4) in noncommutative Yang-Mills.** / Kazuyuki, Furuuchi.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Dp-D (p + 4) in noncommutative Yang-Mills

AU - Kazuyuki, Furuuchi

PY - 2001

Y1 - 2001

N2 - An anti-self-dual instanton solution in Yang-Mills theory on noncommutative ℝ4 with an anti-self-dual noncommutative parameter is constructed. The solution is constructed by the ADHM construction and it can be treated in the framework of the IIB matrix model. In the IIB matrix model, this solution is interpreted as a system of a Dp-brane and D(p + 4)-branes, with the Dp-brane dissolved in the worldvolume of the D(p + 4)-branes. The solution has a parameter that characterises the size of the instanton. The zero of this parameter corresponds to the singularity of the moduli space. At this point, the solution is continuously connected to another solution which can be interpreted as a system of a Dp-brane and D(p + 4)-branes, with the Dp-brane separated from the D(p + 4)-branes. It is shown that even when the parameter of the solution comes to the singularity of the moduli space, the gauge field itself is non-singular. The appearances of the instanton position parameter in various gauges is studied. A class of multi-instanton solutions is also constructed.

AB - An anti-self-dual instanton solution in Yang-Mills theory on noncommutative ℝ4 with an anti-self-dual noncommutative parameter is constructed. The solution is constructed by the ADHM construction and it can be treated in the framework of the IIB matrix model. In the IIB matrix model, this solution is interpreted as a system of a Dp-brane and D(p + 4)-branes, with the Dp-brane dissolved in the worldvolume of the D(p + 4)-branes. The solution has a parameter that characterises the size of the instanton. The zero of this parameter corresponds to the singularity of the moduli space. At this point, the solution is continuously connected to another solution which can be interpreted as a system of a Dp-brane and D(p + 4)-branes, with the Dp-brane separated from the D(p + 4)-branes. It is shown that even when the parameter of the solution comes to the singularity of the moduli space, the gauge field itself is non-singular. The appearances of the instanton position parameter in various gauges is studied. A class of multi-instanton solutions is also constructed.

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M3 - Article

VL - 5

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 3

ER -