(0, 4) Projective superspaces. Part I. Interacting linear sigma models
Abstract We describe the projective superspace approach to supersymmetric models with off-shell (0, 4) supersymmetry in two dimensions. In addition to the usual superspace coordinates, projective superspace has extra bosonic variables — one doublet for each SU(2) in the R-symmetry SU(2) × SU(2) whic...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)117 |
| _version_ | 1797647505165385728 |
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| author | Naveen S. Prabhakar Martin Roček |
| author_facet | Naveen S. Prabhakar Martin Roček |
| author_sort | Naveen S. Prabhakar |
| collection | DOAJ |
| description | Abstract We describe the projective superspace approach to supersymmetric models with off-shell (0, 4) supersymmetry in two dimensions. In addition to the usual superspace coordinates, projective superspace has extra bosonic variables — one doublet for each SU(2) in the R-symmetry SU(2) × SU(2) which are interpreted as homogeneous coordinates on CP 1 × CP 1. The superfields are analytic in the CP 1 coordinates and this analyticity plays an important role in our description. For instance, it leads to stringent constraints on the interactions one can write down for a given superfield content of the model. As an example, we describe in projective superspace Witten’s ADHM sigma model — a linear sigma model with non-derivative interactions whose target is R 4 with a Yang-Mills instanton solution. The hyperkähler nature of target space and the twistor description of instantons by Ward, and Atiyah, Hitchin, Drinfeld and Manin are natural outputs of our construction. |
| first_indexed | 2024-03-11T15:17:10Z |
| format | Article |
| id | doaj.art-b893855de32540be9a78bff4b608f3e7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:10Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b893855de32540be9a78bff4b608f3e72023-10-29T12:09:05ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023715010.1007/JHEP07(2023)117(0, 4) Projective superspaces. Part I. Interacting linear sigma modelsNaveen S. Prabhakar0Martin Roček1International Centre for Theoretical Sciences-TIFRC.N. Yang Institute of Theoretical Physics, Stony Brook UniversityAbstract We describe the projective superspace approach to supersymmetric models with off-shell (0, 4) supersymmetry in two dimensions. In addition to the usual superspace coordinates, projective superspace has extra bosonic variables — one doublet for each SU(2) in the R-symmetry SU(2) × SU(2) which are interpreted as homogeneous coordinates on CP 1 × CP 1. The superfields are analytic in the CP 1 coordinates and this analyticity plays an important role in our description. For instance, it leads to stringent constraints on the interactions one can write down for a given superfield content of the model. As an example, we describe in projective superspace Witten’s ADHM sigma model — a linear sigma model with non-derivative interactions whose target is R 4 with a Yang-Mills instanton solution. The hyperkähler nature of target space and the twistor description of instantons by Ward, and Atiyah, Hitchin, Drinfeld and Manin are natural outputs of our construction.https://doi.org/10.1007/JHEP07(2023)117D-BranesExtended SupersymmetrySuperspaces |
| spellingShingle | Naveen S. Prabhakar Martin Roček (0, 4) Projective superspaces. Part I. Interacting linear sigma models Journal of High Energy Physics D-Branes Extended Supersymmetry Superspaces |
| title | (0, 4) Projective superspaces. Part I. Interacting linear sigma models |
| title_full | (0, 4) Projective superspaces. Part I. Interacting linear sigma models |
| title_fullStr | (0, 4) Projective superspaces. Part I. Interacting linear sigma models |
| title_full_unstemmed | (0, 4) Projective superspaces. Part I. Interacting linear sigma models |
| title_short | (0, 4) Projective superspaces. Part I. Interacting linear sigma models |
| title_sort | 0 4 projective superspaces part i interacting linear sigma models |
| topic | D-Branes Extended Supersymmetry Superspaces |
| url | https://doi.org/10.1007/JHEP07(2023)117 |
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