Six-Dimensional Correlators From a Five-Dimensional Operator Product Expansion
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910448500080640 |
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| author | Lambert, N. Lipstein, A. Mouland, R. |
| author_facet | Lambert, N. Lipstein, A. Mouland, R. |
| contents | In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional Lorentzian conformal field theories. Unlike Lorentzian conformal field theories, three-point functions of generic operators in such theories are not completely fixed by $SU(1,3)\times U(1)$ symmetry. However, we show that in a special case the functional form of the OPE coefficients can be fully determined, and we use them to fix the form of the three-point function. The result is shown to agree with correlation functions obtained by reduction of six-dimensional conformal field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07932 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Six-Dimensional Correlators From a Five-Dimensional Operator Product Expansion Lambert, N. Lipstein, A. Mouland, R. High Energy Physics - Theory In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional Lorentzian conformal field theories. Unlike Lorentzian conformal field theories, three-point functions of generic operators in such theories are not completely fixed by $SU(1,3)\times U(1)$ symmetry. However, we show that in a special case the functional form of the OPE coefficients can be fully determined, and we use them to fix the form of the three-point function. The result is shown to agree with correlation functions obtained by reduction of six-dimensional conformal field theories. |
| title | Six-Dimensional Correlators From a Five-Dimensional Operator Product Expansion |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.07932 |