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He, S1; Yan, GW; Zhang, C1; Zhang, Y1
Scattering forms, worldsheet forms and amplitudes from subspaces
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
语种英语
摘要We present a general construction of two types of differential forms, based on any (n-3)-dimensional subspace in the kinematic space of n massless particles. The first type is the so-called projective, scattering forms in kinematic space, while the second is defined in the moduli space of n-punctured Riemann spheres which we call worldsheet forms. We show that the pushforward of worldsheet forms, by summing over solutions of scattering equations, gives the corresponding scattering forms, which generalizes the results of [1]. The pullback of scattering forms to subspaces can have natural interpretations as amplitudes in terms of Bern-Carrasco-Johansson double-copy construction or Cachazo-He-Yuan formula. As an application of our formalism, we construct in this way a large class of d log scattering forms and worldsheet forms, which are in one-to-one correspondence with non-planar MHV leading singularities in N = 4 super-Yang-Mills. For every leading singularity function, we present a new determinant formula in moduli space, as well as a (combinatoric) polytope and associated scattering form in kinematic space. These include the so-called Cayley cases, where in each case the scattering form is the canonical forms of a convex polytope in the subspace, and scattering equations admit elegant rewritings as a map from the moduli space to the subspace.
2018
ISSN1029-8479
期号8页码:40
学科领域Physics
学科门类Physics, Particles & Fields
DOI10.1007/JHEP08(2018)040
收录类别SCIE
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被引频次:3[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22840
专题理论物理所科研产出_SCI论文
作者单位1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
3.Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
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GB/T 7714
He, S,Yan, GW,Zhang, C,et al. Scattering forms, worldsheet forms and amplitudes from subspaces[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(8):40.
APA He, S,Yan, GW,Zhang, C,&Zhang, Y.(2018).Scattering forms, worldsheet forms and amplitudes from subspaces.JOURNAL OF HIGH ENERGY PHYSICS(8),40.
MLA He, S,et al."Scattering forms, worldsheet forms and amplitudes from subspaces".JOURNAL OF HIGH ENERGY PHYSICS .8(2018):40.
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