Asakawa, Tsuguhiko; Watamura, Satoshi Twist quantization of string and Hopf algebraic symmetry. (English) Zbl 1216.83051 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 068, 17 p. (2010). Summary: 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. MSC: 83E30 String and superstring theories in gravitational theory 81T75 Noncommutative geometry methods in quantum field theory 53D55 Deformation quantization, star products 16T05 Hopf algebras and their applications Keywords:string theory; quantization; Hopf algebra; Drinfeld twist PDFBibTeX XMLCite \textit{T. Asakawa} and \textit{S. Watamura}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 068, 17 p. (2010; Zbl 1216.83051) Full Text: DOI arXiv EuDML