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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 068, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.068 (Mi sigma525) 		 
Twist Quantization of String and Hopf Algebraic Symmetry

Tsuguhiko Asakawa, Satoshi Watamura

Department of Physics, Graduate School of Science, Tohoku University, Aoba-ku, Sendai 980-8578, Japan
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DOI: https://doi.org/10.3842/SIGMA.2010.068
Abstract: We describe the twist quantization of string worldsheet theory, which unifies the description of quantization and the target space symmetry, based on the twisting of Hopf and module algebras. We formulate a method of decomposing a twist into successive twists to analyze the twisted Hopf and module algebra structure, and apply it to several examples, including finite twisted diffeomorphism and extra treatment for zero modes.
Keywords: string theory; qunatization; Hopf algebra; Drinfeld twist.
Received: April 7, 2010; in final form August 12, 2010; Published online August 20, 2010
Bibliographic databases:
Document Type: Article
MSC: 83E30; 81T75; 53D55
Language: English
Citation: Tsuguhiko Asakawa, Satoshi Watamura, “Twist Quantization of String and Hopf Algebraic Symmetry”, SIGMA, 6 (2010), 068, 17 pp.
Citation in format AMSBIB
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\by Tsuguhiko Asakawa, Satoshi Watamura
\paper Twist Quantization of String and Hopf Algebraic Symmetry
\jour SIGMA
\yr 2010
\vol 6
\papernumber 068
\totalpages 17
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