Superspace invariants and correlators in 4d $\mathcal{N}=1$ superconformal field theories
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912239669215232 |
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| author | Jain, Aditya Nizami, Amin A. |
| author_facet | Jain, Aditya Nizami, Amin A. |
| contents | 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 $\mathcal{N}=1$ 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01903 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superspace invariants and correlators in 4d $\mathcal{N}=1$ superconformal field theories Jain, Aditya Nizami, Amin A. High Energy Physics - Theory Mathematical Physics 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 $\mathcal{N}=1$ 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. |
| title | Superspace invariants and correlators in 4d $\mathcal{N}=1$ superconformal field theories |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2411.01903 |