Cluster Configuration Spaces of Finite Type

doi:10.3842/SIGMA.2021.092

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Cluster Configuration Spaces of Finite Type
	Arkani-Hamed, Nima ; He, Song 1,2,3,4; Lam, Thomas 5
刊名	SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
	2021
卷号	17 页码:92
关键词	ALGEBRAS
ISSN号	1815-0659
DOI	10.3842/SIGMA.2021.092
英文摘要	For each Dynkin diagram D, we define a cluster configuration space M-D and a partial compactification (M) over tilde (D). For D = A(n-3), we have MA(n-3) = M-0,M-n, the configuration space of n points on P-1, and the partial compactification MA(n-3) was studied in this case by Brown. The space (M) over tilde (D) is a smooth affine algebraic variety with a stratification in bijection with the faces of the Chapoton-Fomin-Zelevinsky generalized associahedron. The regular functions on (M) over tilde (D) are generated by coordinates u(gamma), in bijection with the cluster variables of type D, and the relations are described completely in terms of the compatibility degree function of the cluster algebra. As an application, we define and study cluster algebra analogues of tree-level open string amplitudes.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27596]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Inst Adv Study, Sch Nat Sci, Olden Lane, Princeton, NJ 08540 USA 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 4.ICTP AP Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 6.Univ Michigan, Dept Math, 530 Church St, Ann Arbor, MI 48109 USA
推荐引用方式 GB/T 7714	Arkani-Hamed, Nima,He, Song,Lam, Thomas. Cluster Configuration Spaces of Finite Type[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,2021,17:92.
APA	Arkani-Hamed, Nima,He, Song,&Lam, Thomas.(2021).Cluster Configuration Spaces of Finite Type.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,17,92.
MLA	Arkani-Hamed, Nima,et al."Cluster Configuration Spaces of Finite Type".SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 17(2021):92.