Moduli spaces and symmetries in string theory
弦理论中的模空间和对称性
基本信息
- 批准号:12640022
- 负责人:
- 金额:$ 1.86万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for Scientific Research (C)
- 财政年份:2000
- 资助国家:日本
- 起止时间:2000 至 2002
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
On the theme of Seiberg-Witten theory approached through elliptic surfaces, Shimizu did the joint research with A.Tsuchiya (Nagoya Univ.), A.Kato (Unlv. Tokyo) Y.Saito (Univ. Tokyo), H.Awata (Univ. Tokyo) etc. Among others, we constructed the moduli space of marked rational elliptic surfaces and their period map, studied the inversion problem, the relation with simply elliptic singularities, constructed the elliptic Lie algebra and the elliptic Weyl group, and carried out the realization of a Seiberg-Witten integrable system. In 2002, we introduced the periods of elliptic K3 surfaces, the moduli and the derived category of coherent sheaves in order to enlarge our study and to look for the quantum analog of classical periodsUeno and Shimizu studied the degeneration behavior of the conformal blocks of the CFT with abelian currents as symmetries, and published a book on moduli theory. Ueno constructed a modular functor using CFT. From the viewpoint of deformation theory of complex structure, Saito reconsidered the space of initial values of the Painleve equations, introduced the notion of Okamoto-Painleve pairs, classified them and rewrited the differential equationsSuzuki studied weakly distance-regular digraphs and type II matrices associated with link invariants. Morimoto expressed the analytic functionals on the sphere as initial values of the heat functions. Yamakawa studied codimension one locally free action of solvable Lie groups
关于通过椭圆曲面逼近Seiberg-Witten理论的主题,清水与A.Tsuchiya(名古屋大学)进行了联合研究,A.Kato(Unlv.其中,我们构造了标记有理椭圆曲面的模空间及其周期映射,研究了反演问题,与单椭圆奇点的关系,构造了椭圆李代数和椭圆Weyl群,实现了Seiberg-Witten可积系统。2002年,我们引入了椭圆K3曲面的周期、模和相干层的导出范畴,以扩大我们的研究,并寻找经典周期的量子模拟。Ueno和Shimizu研究了以交换流为对称的CFT共形块的退化行为,并出版了一本关于模理论的书。Ueno使用CFT构造了一个模函子。Saito从复杂结构形变理论的观点出发,重新考虑了Painleve方程的初值空间,引入了Okamoto-Painleve对的概念,并对它们进行了分类,改写了微分方程。Suzuki研究了弱距离正则有向图和与链不变量相关的II型矩阵。Morimoto表示的解析泛函上的球作为初始值的热函数。Yamakawa研究了可解李群的余维1局部自由作用
项目成果
期刊论文数量(29)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
M.Kiyota and H.Suzuki: "Character Products and Q-polynomial Group Association Schemes"Journal of Algebra. 226. 533-546 (2000)
M.Kiyota 和 H.Suzuki:“字符积和 Q 多项式群关联方案”代数杂志。
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- 影响因子:0
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R.Hosoya, H.Suzuki: "Type II matrices and their Bose-Mesner algebras"J. of Algebraic Combinatorics. 17. 19-37 (2003)
R.Hosoya,H.Suzuki:“II 型矩阵及其 Bose-Mesner 代数”J.
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- 影响因子:0
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M.-H.Saito, T.Takebe, H.Terajima: "Deformation of Okamoto-Painleve Paris and Painleve equations"J. Alg. Geom.. 11. 311-362 (2002)
M.-H.Saito、T.Takebe、H.Terajima:“Okamoto-Painleve Paris 和 Painleve 方程的变形”J。
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- 影响因子:0
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A.Yamakawa, N.Tsuchiya: "Rigidity of codimension one locally free actions of solvable Lie groups"K-monographs in Math.. 7. 181-200 (2002)
A.Yamakawa,N.Tsuchiya:“可解李群的余维一局部自由作用的刚性”K-数学专着.. 7. 181-200 (2002)
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S. Hosono, M.-H. Saito, A. Takahashi: "Relative Lefschetz action and BPS state counting"Internat. Math. Res. Notices. 15. 783-816 (2001)
S.细野,M.-H。
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SHIMIZU Yuji其他文献
SHIMIZU Yuji的其他文献
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{{ truncateString('SHIMIZU Yuji', 18)}}的其他基金
Clarify the mechanism that underlying the age-related decline of living standards
阐明与年龄相关的生活水平下降的潜在机制
- 批准号:
18K06448 - 财政年份:2018
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Physiological polymorphism and potential function of atherosclerosis in relation to vascular remodeling.
动脉粥样硬化的生理多态性和与血管重塑相关的潜在功能。
- 批准号:
15K07243 - 财政年份:2015
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Epidemiological study of urine biomarkers that contribute to the prevention of chronic disease in childhood
有助于预防儿童慢性病的尿液生物标志物的流行病学研究
- 批准号:
24590791 - 财政年份:2012
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
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