Constructing N $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes
Abstract We study scattering amplitudes of massive BPS states on the Coulomb branch of 4d N $$ \mathcal{N} $$ = 4 super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)107 |
| _version_ | 1818835992343216128 |
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| author | Aidan Herderschee Seth Koren Timothy Trott |
| author_facet | Aidan Herderschee Seth Koren Timothy Trott |
| author_sort | Aidan Herderschee |
| collection | DOAJ |
| description | Abstract We study scattering amplitudes of massive BPS states on the Coulomb branch of 4d N $$ \mathcal{N} $$ = 4 super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes. We then determine the exact three-particle superamplitudes for massive states. These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states. The manifest little group covariance helps clarify both the role of special kinematic properties of BPS states and the organizational structures of the superamplitudes. |
| first_indexed | 2024-12-19T02:59:31Z |
| format | Article |
| id | doaj.art-a6ff8d7b2a9942cfbea4c2a571e37ff5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T02:59:31Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a6ff8d7b2a9942cfbea4c2a571e37ff52022-12-21T20:38:16ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019815110.1007/JHEP08(2019)107Constructing N $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudesAidan Herderschee0Seth Koren1Timothy Trott2Department of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaAbstract We study scattering amplitudes of massive BPS states on the Coulomb branch of 4d N $$ \mathcal{N} $$ = 4 super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes. We then determine the exact three-particle superamplitudes for massive states. These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states. The manifest little group covariance helps clarify both the role of special kinematic properties of BPS states and the organizational structures of the superamplitudes.http://link.springer.com/article/10.1007/JHEP08(2019)107Scattering AmplitudesExtended SupersymmetrySuperspaces |
| spellingShingle | Aidan Herderschee Seth Koren Timothy Trott Constructing N $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes Journal of High Energy Physics Scattering Amplitudes Extended Supersymmetry Superspaces |
| title | Constructing N $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes |
| title_full | Constructing N $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes |
| title_fullStr | Constructing N $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes |
| title_full_unstemmed | Constructing N $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes |
| title_short | Constructing N $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes |
| title_sort | constructing n mathcal n 4 coulomb branch superamplitudes |
| topic | Scattering Amplitudes Extended Supersymmetry Superspaces |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)107 |
| work_keys_str_mv | AT aidanherderschee constructingnmathcaln4coulombbranchsuperamplitudes AT sethkoren constructingnmathcaln4coulombbranchsuperamplitudes AT timothytrott constructingnmathcaln4coulombbranchsuperamplitudes |