Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 18 (2022), 045, 21 pages      arXiv:2203.08087
Contribution to the Special Issue on Twistors from Geometry to Physics in honour of Roger Penrose

From Twistor-Particle Models to Massive Amplitudes

Giulia Albonico a, Yvonne Geyer b and Lionel Mason a
a) The Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK
b) Department of Physics, Faculty of Science, Chulalongkorn University, Thanon Phayathai, Pathumwan, Bangkok 10330, Thailand

Received March 19, 2022, in final form June 08, 2022; Published online June 19, 2022

In his twistor-particle programme of the 1970's, Roger Penrose introduced a representation of the massive particle phase space in terms of a pair of twistors subject to an internal symmetry group. Here we use this representation to introduce a chiral string whose target is a complexification of this space, extended so as to incorporate supersymmetry. We show that the gauge anomalies associated to the internal symmetry group vanish only for maximal supersymmetry, and that correlators in these string models describe amplitudes involving massive particles with manifest supersymmetry. The models and amplitude formulae exhibit a double copy structure from gauge theory on the Coulomb branch to gravity, although the graviton remains massless. The formulae are closely related to those obtained earlier by the authors expressed in terms of the polarised scattering equations.

Key words: twistor theory; scattering amplitudes; ambitwistor string.

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