Notes on Worldsheet-Like Variables for Cluster Configuration Spaces

doi:10.3842/SIGMA.2023.045

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

	Notes on Worldsheet-Like Variables for Cluster Configuration Spaces
	He, Song 1,2,3,4; Wang, Yihong 1,3,5; Zhang, Yong 6,7; Zhao, Peng 1
刊名	SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
	2023
卷号	19 页码:1-24
关键词	ALGEBRAS
ISSN号	1815-0659
DOI	10.3842/SIGMA.2023.045
英文摘要	We continue the exploration of various appearances of cluster algebras in scattering amplitudes and related topics in physics. The cluster configuration spaces generalize the familiar moduli space M0,n to finite-type cluster algebras. We study worldsheet-like variables, which for classical types have also appeared in the study of the symbol alphabet of Feynman integrals. We provide a systematic derivation of these variables from Y-systems, which allows us to express the dihedral coordinates in terms of them and to write the corresponding cluster string integrals in compact forms. We mainly focus on the Dn type and show how to reach the boundaries of the configuration space, and write the saddle-point equations in terms of these variables. Moreover, these variables make it easier to study various topological properties of the space using a finite-field method. We propose conjectures about quasi-polynomial point count, dimensions of cohomology, and the number of saddle points for the Dn space up to n = 10, which greatly extend earlier results.
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/311006/28035]
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.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 5.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 6.Univ Savoie Mont Blanc, Lab Annecy Le Vieux Phys Theor, 9 Chemin Bellevue, F-74941 Annecy Le Vieux, France 7.Uppsala Univ, Dept Phys & Astron, S-75108 Uppsala, Sweden 8.Perimeter Inst, 31 Caroline St North, Waterloo, ON N2L 2Y5, Canada
推荐引用方式 GB/T 7714	He, Song,Wang, Yihong,Zhang, Yong,et al. Notes on Worldsheet-Like Variables for Cluster Configuration Spaces[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,2023,19:1-24.
APA	He, Song,Wang, Yihong,Zhang, Yong,&Zhao, Peng.(2023).Notes on Worldsheet-Like Variables for Cluster Configuration Spaces.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,19,1-24.
MLA	He, Song,et al."Notes on Worldsheet-Like Variables for Cluster Configuration Spaces".SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 19(2023):1-24.