Twist quantization of string and Hopf algebraic symmetry

DOI10.3842/SIGMA.2010.068zbMATH Open1216.83051arXiv1008.3440MaRDI QIDQ543970

Tsuguhiko Asakawa, Satoshi Watamura

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1008.3440

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zbMATH Keywords

quantizationstring theoryHopf algebraDrinfeld twist

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Noncommutative geometry methods in quantum field theory (81T75) Deformation quantization, star products (53D55) Hopf algebras and their applications (16T05)

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