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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2025)037 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |