## 抄録

There is a difficulty in defining the positions of the D-branes when the scalar fields on them are non-Abelian. We show that we can use tachyon condensation to determine the position or the shape of D0-branes uniquely as a commutative region in spacetime together with a non-trivial gauge flux on it, even if the scalar fields are non-Abelian. We use the idea of the so-called coherent state method developed in the field of matrix models in the context of the tachyon condensation. We investigate configurations of non-commutative D2-brane made out of D0- branes as examples. In particular, we examine a Moyal plane and a fuzzy sphere in detail, and show that whose shapes are commutative ℝ^{2} and S_{2}, respectively, equipped with uniform magnetic flux on them.We study the physical meaning of this commutative geometry made out of matrices, and propose an interpretation in terms of K-homology.

本文言語 | English |
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論文番号 | 063B04 |

ジャーナル | Progress of Theoretical and Experimental Physics |

巻 | 2018 |

号 | 6 |

DOI | |

出版ステータス | Published - 2018 6月 1 |

## ASJC Scopus subject areas

- 物理学および天文学一般