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Twist quantization of string and Hopf algebraic symmetry. (English) Zbl 1216.83051

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
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