Binary geometries, generalized particles and strings, and cluster algebras

doi:10.1103/PhysRevD.107.066015

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

	Binary geometries, generalized particles and strings, and cluster algebras
	Arkani-Hamed, Nima ; He, Song 1,2,3,4; Lam, Thomas 5,6; Thomas, Hugh 7
刊名	PHYSICAL REVIEW D
	2023
卷号	107 期号:6 页码:66015
ISSN号	2470-0010
DOI	10.1103/PhysRevD.107.066015
英文摘要	We introduce the notion of binary positive and complex geometries, giving a completely rigid geometric realization of the combinatorics of generalized associahedra attached to any Dynkin diagram. We also define open and closed cluster string integrals associated with these cluster configuration spaces. The binary geometry of type A gives a gauge-invariant description of the usual open and closed string moduli spaces for tree scattering, making no explicit reference to a world sheet. The binary geometries and cluster string integrals for other Dynkin types provide a generalization of particle and string scattering amplitudes. Both the binary geometries and cluster string integrals enjoy remarkable factorization properties at finite a0, obtained simply by removing nodes of the Dynkin diagram. As a0 -> 0 these cluster string integrals reduce to the canonical forms of the Arkani-Hamed-Bai-He-Yan (ABHY) generalized associahedron polytopes. For classical Dynkin types these are associated with n-particle scattering in the biadjoint 03 theory through one-loop order.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27932]
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 Studies, Sch Nat Sci, Princeton, NJ 08540 USA 2.Harvard Univ, Ctr Math Sci & Applicat, Cambridge, MA 02138 USA 3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 5.UCAS, ICTP AP Int Ctr Theoret Phys Asia Pacific, Hangzhou 310024, Peoples R China 6.Univ Michigan, Dept Math, 530 Church St, Ann Arbor, MI 48109 USA 7.MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA 8.Univ Quebec Montreal, Dept Math, LaCIM, Montreal, PQ H3C 3P8, Canada
推荐引用方式 GB/T 7714	Arkani-Hamed, Nima,He, Song,Lam, Thomas,et al. Binary geometries, generalized particles and strings, and cluster algebras[J]. PHYSICAL REVIEW D,2023,107(6):66015.
APA	Arkani-Hamed, Nima,He, Song,Lam, Thomas,&Thomas, Hugh.(2023).Binary geometries, generalized particles and strings, and cluster algebras.PHYSICAL REVIEW D,107(6),66015.
MLA	Arkani-Hamed, Nima,et al."Binary geometries, generalized particles and strings, and cluster algebras".PHYSICAL REVIEW D 107.6(2023):66015.