Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 6 (2010), 068, 17 pages      arXiv:1008.3440
Contribution to the Special Issue “Noncommutative Spaces and Fields”

Twist Quantization of String and Hopf Algebraic Symmetry

Tsuguhiko Asakawa and Satoshi Watamura
Department of Physics, Graduate School of Science, Tohoku University, Aoba-ku, Sendai 980-8578, Japan

Received April 07, 2010, in final form August 12, 2010; Published online August 20, 2010

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.

Key words: string theory; qunatization; Hopf algebra; Drinfeld twist.

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