2009 Fiscal Year Final Research Report
Symmetry in Noncommutative Geometry and its String Theory Origin
| Project/Area Number |
19540257
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Tohoku University |
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Principal Investigator |
WATAMURA Satoshi Tohoku University, 大学院・理学研究科, 准教授 (00201252)
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| Co-Investigator(Renkei-kenkyūsha) |
INAMI Takeo 中央大学, 理工学部, 教授 (20012487)
OHTA Kazutoshi 明治学院大学, 法学部, 専任講師 (80442937)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 素粒子理論 / 数理物理 / 幾何学 / 非可換幾何学 / 弦理論 |
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| Research Abstract |
Summary of the results of the research : It became apparent that the structure of the Hopf algebra as a symmetry of the string theory and the structure of the deformation of the operator algebra caused by the existence of the non-trivial B-field background can be unified under the 'twist quantization', which is proposed by us and applied for the formulation of the string world sheet quantization by the twist element of the Hopf algebra, in the way that the deformation of operator algebra occurs due to the quantization and the deformation by B-field background are constructed in the single deformation of the same level. It means that in the string level, the Hopf algebra which contains the diffeomorphism in string theory, is deformed by both quantization and B-field background into the quantum group algebra including the deformed diffeomorphism.
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