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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
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
Citation:
Tsuguhiko Asakawa, Satoshi Watamura, “Twist Quantization of String and Hopf Algebraic Symmetry”, SIGMA, 6 (2010), 068, 17 pp.
Linking options:
https://www.mathnet.ru/eng/sigma525 https://www.mathnet.ru/eng/sigma/v6/p68
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