Associativity of celestial OPE, higher spins and self-duality
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915459473866752 |
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| author | Serrani, Mattia |
| author_facet | Serrani, Mattia |
| contents | We highlight and clarify the connection between several ideas and self-dual theories: (a) the operator product expansion (OPE) associativity in celestial conformal field theory (CCFT); (b) the vanishing of tree-level amplitudes; (c) the Jacobi identity for the "gauge" algebra; (d) the light-cone holomorphic constraints. Naturally, (b), (c), or (d) are closely related to self-duality. In particular, the recently classified arXiv:2505.12839 chiral higher-spin theories with one- and two-derivative interactions (i.e. with gauge and gravitational interactions, which are extensions of self-dual Yang-Mills and self-dual gravity) also satisfy the OPE associativity constraint. We discuss the OPE associativity constraint and the holomorphic constraint for the most general class of cubic vertices. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_16804 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Associativity of celestial OPE, higher spins and self-duality Serrani, Mattia High Energy Physics - Theory We highlight and clarify the connection between several ideas and self-dual theories: (a) the operator product expansion (OPE) associativity in celestial conformal field theory (CCFT); (b) the vanishing of tree-level amplitudes; (c) the Jacobi identity for the "gauge" algebra; (d) the light-cone holomorphic constraints. Naturally, (b), (c), or (d) are closely related to self-duality. In particular, the recently classified arXiv:2505.12839 chiral higher-spin theories with one- and two-derivative interactions (i.e. with gauge and gravitational interactions, which are extensions of self-dual Yang-Mills and self-dual gravity) also satisfy the OPE associativity constraint. We discuss the OPE associativity constraint and the holomorphic constraint for the most general class of cubic vertices. |
| title | Associativity of celestial OPE, higher spins and self-duality |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.16804 |