From Twistor-Particle Models to Massive Amplitudes

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2022
• Автори: Albonico, Giulia, Geyer, Yvonne, Mason, Lionel
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2022
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211623
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: From Twistor-Particle Models to Massive Amplitudes. Giulia Albonico, Yvonne Geyer and Lionel Mason. SIGMA 18 (2022), 045, 21 pages

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 to incorporate supersymmetry. We show that the gauge anomalies associated with 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.