A note on letters of Yangian invariants

doi:10.1007/JHEP02(2021)155

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	A note on letters of Yangian invariants
	He, Song 1,2,3; Li, Zhenjie 3
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2021
期号	2 页码:155
ISSN号	1029-8479
DOI	10.1007/JHEP02(2021)155
英文摘要	Motivated by reformulating Yangian invariants in planar N = 4 SYM directly as d log forms on momentum-twistor space, we propose a purely algebraic problem of determining the arguments of the d log's, which we call "letters", for any Yangian invariant. These are functions of momentum twistors Z 's, given by the positive coordinates alpha's of parametrizations of the matrix C(alpha), evaluated on the support of polynomial equations C(alpha) . Z = 0. We provide evidence that the letters of Yangian invariants are related to the cluster algebra of Grassmannian G(4, n), which is relevant for the symbol alphabet of n-point scattering amplitudes. For n = 6, 7, the collection of letters for all Yangian invariants contains the cluster A coordinates of G(4, n). We determine algebraic letters of Yangian invariant associated with any "four-mass" box, which for n = 8 reproduce the 18 multiplicative-independent, algebraic symbol letters discovered recently for two-loop 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/311006/27263]
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.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.ICTP AP 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
推荐引用方式 GB/T 7714	He, Song,Li, Zhenjie. A note on letters of Yangian invariants[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(2):155.
APA	He, Song,&Li, Zhenjie.(2021).A note on letters of Yangian invariants.JOURNAL OF HIGH ENERGY PHYSICS(2),155.
MLA	He, Song,et al."A note on letters of Yangian invariants".JOURNAL OF HIGH ENERGY PHYSICS .2(2021):155.