ITP OpenIR  > SCI期刊论文
He, Song1,2,3; Li, Zhenjie3
A note on letters of Yangian invariants
AbstractMotivated 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.
Cooperation Status国内
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Document Type期刊论文
Affiliation1.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
Recommended Citation
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.
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