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Twist Quantization of String and Hopf Algebraic Symmetry
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Twist Quantization of String and Hopf Algebraic Symmetry
Інший ID:
2010 Mathematics Subject Classification: 83E30; 81T75; 53D55
DOI:10.3842/SIGMA.2010.068
DOI:10.3842/SIGMA.2010.068
Посилання:
Twist Quantization of String and Hopf Algebraic Symmetry / T. Asakawa, S. Watamura // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 21 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
The authors would like to thank M. Mori for collaboration and useful discussions. We also thank to Dr. U. Carow-Watamura for useful comments and discussions. This work is supported by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan, No. 19540257.
Дата:
2010
Переглядів:
549
Завантажень:
266
Анотація:
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.
