Bootstrapping octagons in reduced kinematics from A(2) cluster algebras

doi:10.1007/JHEP10(2021)084

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

	Bootstrapping octagons in reduced kinematics from A(2) cluster algebras
	He, Song 1,2,3,4; Li, Zhenjie 4; Tang, Yichao 4,5; Yang, Qinglin 4
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2021
期号	10 页码:84
ISSN号	1029-8479
DOI	10.1007/JHEP10(2021)084
英文摘要	Multi-loop scattering amplitudes/null polygonal Wilson loops in N = 4 super-Yang-Mills are known to simplify significantly in reduced kinematics, where external legs/edges lie in an 1 + 1 dimensional subspace of Minkowski spacetime (or boundary of the AdS(3) subspace). Since the edges of a 2n-gon with even and odd labels go along two different null directions, the kinematics is reduced to two copies of G(2, n)/T similar to A(n-3). In the simplest octagon case, we conjecture that all loop amplitudes and Feynman integrals are given in terms of two overlapping A(2) functions (a special case of two-dimensional harmonic polylogarithms): in addition to the letters v, 1 + v, w, 1 + w of A(1) x A(1), there are two letters v - w, 1 - vw mixing the two sectors but they never appear together in the same term; these are the reduced version of four-mass-box algebraic letters. Evidence supporting our conjecture includes all known octagon amplitudes as well as new computations of multi-loop integrals in reduced kinematics. By leveraging this alphabet and conditions on first and last entries, we initiate a bootstrap program in reduced kinematics: within the remarkably simple space of overlapping A(2) functions, we easily obtain octagon amplitudes up to two-loop NMHV and three-loop MHV. We also briefly comment on the generalization to 2n-gons in terms of A(2) functions and beyond.
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/311006/27592]
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.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 3.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Zhejiang, 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.Peking Univ, Sch Phys, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	He, Song,Li, Zhenjie,Tang, Yichao,et al. Bootstrapping octagons in reduced kinematics from A(2) cluster algebras[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(10):84.
APA	He, Song,Li, Zhenjie,Tang, Yichao,&Yang, Qinglin.(2021).Bootstrapping octagons in reduced kinematics from A(2) cluster algebras.JOURNAL OF HIGH ENERGY PHYSICS(10),84.
MLA	He, Song,et al."Bootstrapping octagons in reduced kinematics from A(2) cluster algebras".JOURNAL OF HIGH ENERGY PHYSICS .10(2021):84.