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2018

Scattering Forms, Worldsheet Forms and Amplitudes from Subspaces

He, Song, Yan, Gongwang, Zhang, Chi et al.

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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 [1711.09102].
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.

Scattering Forms, Worldsheet Forms and Amplitudes from Subspaces · Around

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