Commutative geometry for non-commutative D-branes by tachyon condensation

• 伊敷, 吾郎

• Asakawa, Tsuguhiko

• Matsumoto, Takaki

• Matsuura, So

• Muraki, Hisayoshi

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 R2 and S2⁠, 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.

収録刊行物

• Progress of Theoretical and Experimental Physics

  Progress of Theoretical and Experimental Physics 2018 (6), 2018-06

  Oxford University Press Published on behalf of Journal of the Physical Society of Japan

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1050845764129109760
• NII論文ID: 120007133451
• NII書誌ID: AA00791455
• ISSN: 20503911
• DOI: 10.1093/ptep/pty062
• HANDLE: 2241/00157617
• Web Site: https://tsukuba.repo.nii.ac.jp/records/52189
• Web Site: http://academic.oup.com/ptep/article-pdf/2018/6/063B04/25071439/pty062.pdf
• 本文言語コード: en
• 資料種別: journal article
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