From Twistor-Particle Models to Massive Amplitudes
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 o...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211623 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | From Twistor-Particle Models to Massive Amplitudes. Giulia Albonico, Yvonne Geyer and Lionel Mason. SIGMA 18 (2022), 045, 21 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862618290867666944 |
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| author | Albonico, Giulia Geyer, Yvonne Mason, Lionel |
| author_facet | Albonico, Giulia Geyer, Yvonne Mason, Lionel |
| citation_txt | From Twistor-Particle Models to Massive Amplitudes. Giulia Albonico, Yvonne Geyer and Lionel Mason. SIGMA 18 (2022), 045, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-14T10:47:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211623 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T10:47:16Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Albonico, Giulia Geyer, Yvonne Mason, Lionel 2026-01-07T13:39:48Z 2022 From Twistor-Particle Models to Massive Amplitudes. Giulia Albonico, Yvonne Geyer and Lionel Mason. SIGMA 18 (2022), 045, 21 pages 1815-0659 2020 Mathematics Subject Classification: 81U20; 83C60; 32L25; 81T30; 81T13 arXiv:2203.08087 https://nasplib.isofts.kiev.ua/handle/123456789/211623 https://doi.org/10.3842/SIGMA.2022.045 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. We are grateful to Alexander Ochirov for discussions and comments. GA is supported by the EPSRC under grant EP/R513295/1. YG gratefully acknowledges support from the CUniverse research promotion project “Toward World-class Fundamental Physics” of Chulalongkorn University (grant reference CUAASC). LJM is grateful to the STFC for support under grant ST/T000864/1. We would also like to thank the SIGMA team for their courage and dedication, working through difficult circumstances in Kyiv in the face of the Russian invasion and aggression. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications From Twistor-Particle Models to Massive Amplitudes Article published earlier |
| spellingShingle | From Twistor-Particle Models to Massive Amplitudes Albonico, Giulia Geyer, Yvonne Mason, Lionel |
| title | From Twistor-Particle Models to Massive Amplitudes |
| title_full | From Twistor-Particle Models to Massive Amplitudes |
| title_fullStr | From Twistor-Particle Models to Massive Amplitudes |
| title_full_unstemmed | From Twistor-Particle Models to Massive Amplitudes |
| title_short | From Twistor-Particle Models to Massive Amplitudes |
| title_sort | from twistor-particle models to massive amplitudes |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211623 |
| work_keys_str_mv | AT albonicogiulia fromtwistorparticlemodelstomassiveamplitudes AT geyeryvonne fromtwistorparticlemodelstomassiveamplitudes AT masonlionel fromtwistorparticlemodelstomassiveamplitudes |