Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theories
Abstract Using polarization spinor methods in conjunction with the superspace formalism, we construct 3-point superconformal invariants that are used to determine the form of 3-point correlators of spinning superfield operators in N $$ \mathcal{N} $$ = 1 superconformal field theories (SCFTs) in 4-di...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)037 |
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| author | Aditya Jain Amin A. Nizami |
| author_facet | Aditya Jain Amin A. Nizami |
| author_sort | Aditya Jain |
| collection | DOAJ |
| description | Abstract Using polarization spinor methods in conjunction with the superspace formalism, we construct 3-point superconformal invariants that are used to determine the form of 3-point correlators of spinning superfield operators in N $$ \mathcal{N} $$ = 1 superconformal field theories (SCFTs) in 4-dimensions. We enumerate the structural form of various spinning 3-point correlators using these invariants and find additional constraints on their form when the operators are conserved supercurrents. For these purposes, we first construct the invariants and 3-point correlators in non-supersymmetric 4d CFTs which are then extended using superspace methods to 4d SCFTs. |
| format | Article |
| id | doaj-art-bd544b665054497ab901c0a0da816b6d |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-bd544b665054497ab901c0a0da816b6d2025-02-09T12:08:36ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025214910.1007/JHEP02(2025)037Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theoriesAditya Jain0Amin A. Nizami1Department of Physics, Ashoka UniversityDepartment of Physics, Ashoka UniversityAbstract Using polarization spinor methods in conjunction with the superspace formalism, we construct 3-point superconformal invariants that are used to determine the form of 3-point correlators of spinning superfield operators in N $$ \mathcal{N} $$ = 1 superconformal field theories (SCFTs) in 4-dimensions. We enumerate the structural form of various spinning 3-point correlators using these invariants and find additional constraints on their form when the operators are conserved supercurrents. For these purposes, we first construct the invariants and 3-point correlators in non-supersymmetric 4d CFTs which are then extended using superspace methods to 4d SCFTs.https://doi.org/10.1007/JHEP02(2025)037Field Theories in Higher DimensionsScale and Conformal SymmetriesExtended Supersymmetry |
| spellingShingle | Aditya Jain Amin A. Nizami Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theories Journal of High Energy Physics Field Theories in Higher Dimensions Scale and Conformal Symmetries Extended Supersymmetry |
| title | Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theories |
| title_full | Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theories |
| title_fullStr | Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theories |
| title_full_unstemmed | Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theories |
| title_short | Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theories |
| title_sort | superspace invariants and correlators in 4d n mathcal n 1 superconformal field theories |
| topic | Field Theories in Higher Dimensions Scale and Conformal Symmetries Extended Supersymmetry |
| url | https://doi.org/10.1007/JHEP02(2025)037 |
| work_keys_str_mv | AT adityajain superspaceinvariantsandcorrelatorsin4dnmathcaln1superconformalfieldtheories AT aminanizami superspaceinvariantsandcorrelatorsin4dnmathcaln1superconformalfieldtheories |