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Twist quantization of string and B field background

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タイトル: Twist quantization of string and B field background
著者: Asakawa, Tsuguhiko 著作を一覧する
Mori, Masashi 著作を一覧する
Watamura, Satoshi 著作を一覧する
キーワード: Bosonic Strings
Non-Commutative Geometry
Quantum Groups
発行日: 2009年 4月
出版者: Institute of Physics Publishing
誌名: Journal of High Energy Physics
巻: 04
開始ページ: 117
出版社 DOI: 10.1088/1126-6708/2009/04/117
抄録: In a previous paper, we investigated the Hopf algebra structure in string theory and gave a unified formulation of the quantization of the string and the space-time symmetry. In this paper, this formulation is applied to the case with a nonzero B-field background, and the twist of the Poincaré symmetry is studied. The Drinfeld twist accompanied by the B-field background gives an alternative quantization scheme, which requires a new normal ordering. In order to obtain a physical interpretation of this twisted Hopf algebra structure, we propose a method to decompose the twist into two successive twists and we give two different possibilities of decomposition. The first is a natural decomposition from the viewpoint of the twist quantization, leading to a new type of twisted Poincaré symmetry. The second decomposition reveals the relation of our formulation to the twisted Poincaré symmetry on the Moyal type noncommutative space.
Rights: This is an author-created, un-copyedited version of an article accepted for publication in Journal of High Energy Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at http://dx.doi.org/10.1088/1126-6708/2009/04/117.
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/38672
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 浅川 嗣彦

 

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