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Information metric, Berry connection, and Berezin-Toeplitz quantization for matrix geometry
http://hdl.handle.net/2241/00157351
http://hdl.handle.net/2241/001573519caea874-be69-4f47-9cea-a38fe2d5e241
名前 / ファイル | ライセンス | アクション |
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PRD_98-2-026002 (363.1 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2019-08-23 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Information metric, Berry connection, and Berezin-Toeplitz quantization for matrix geometry | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
著者 |
伊敷, 吾郎
× 伊敷, 吾郎× Matsumoto, Takaki× Muraki, Hisayoshi |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We consider the information metric and Berry connection in the context of noncommutative matrix geometry. We propose that these objects give a new method of characterizing the fuzzy geometry of matrices. We first give formal definitions of these geometric objects and then explicitly calculate them for the well-known matrix configurations of fuzzy S2 and fuzzy S4. We find that the information metrics are given by the usual round metrics for both examples, while the Berry connections coincide with the configurations of the Wu-Yang monopole and the Yang monopole for fuzzy S2 and fuzzy S4, respectively. Then, we demonstrate that the matrix configurations of fuzzy Sn (n=2, 4) can be understood as images of the embedding functions Sn→Rn+1 under the Berezin-Toeplitz quantization map. Based on this result, we also obtain a mapping rule for the Laplacian on fuzzy S4. | |||||
言語 | en | |||||
書誌情報 |
en : Physical review D 巻 98, 号 2, p. 026002, 発行日 2018-07 |
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ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 2470-0010 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00773624 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1103/PhysRevD.98.026002 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | American Physical Society |