Twist quantization of string and Hopf algebraic symmetry

Tsuguhiko Asakawa; Satoshi Watamura

doi:10.3842/SIGMA.2010.068

Twist quantization of string and Hopf algebraic symmetry

Tsuguhiko Asakawa, Satoshi Watamura

SCI - Physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	068
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	6
DOIs	https://doi.org/10.3842/SIGMA.2010.068
Publication status	Published - 2010

Keywords

Drinfeld twist
Hopf algebra
Qunatization
String theory

ASJC Scopus subject areas

Analysis
Mathematical Physics
Geometry and Topology

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10.3842/SIGMA.2010.068

Cite this

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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.",

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Twist quantization of string and Hopf algebraic symmetry

Abstract

Keywords

ASJC Scopus subject areas

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