Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2502.14077 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909502364712960 |
|---|---|
| author | Aprile, F. Drummond, J. M. Heslop, P. J. Santagata, M. |
| author_facet | Aprile, F. Drummond, J. M. Heslop, P. J. Santagata, M. |
| contents | An explicit analytic formula is presented that computes the conformal (super-)block decomposition of any free scalar or half-BPS diagram in 1d, 2d or 4d CFTs, with various supersymmetries, including none. We prove our formula by exploiting a connection between conformal blocks and symmetric polynomials. Then we give a direct application of our result to the study of four-point correlators in ${\cal N}=4$ SYM at strong coupling. In particular, we give a CFT proof of the tree-level Witten diagram representation of $\langle {\cal O}_2^2{\cal O}_2^2 {\cal O}_q{\cal O}_q\rangle$ on AdS$_5\times$S$^5$, providing new and highly non-trivial checks of the AdS/CFT correspondence. Our method works for a more general class of multi-particle correlators and can be used to bootstrap new results at strong coupling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14077 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A formula for the block expansion in free CFTs and applications to ${\cal N}=4$ SYM at strong coupling Aprile, F. Drummond, J. M. Heslop, P. J. Santagata, M. High Energy Physics - Theory An explicit analytic formula is presented that computes the conformal (super-)block decomposition of any free scalar or half-BPS diagram in 1d, 2d or 4d CFTs, with various supersymmetries, including none. We prove our formula by exploiting a connection between conformal blocks and symmetric polynomials. Then we give a direct application of our result to the study of four-point correlators in ${\cal N}=4$ SYM at strong coupling. In particular, we give a CFT proof of the tree-level Witten diagram representation of $\langle {\cal O}_2^2{\cal O}_2^2 {\cal O}_q{\cal O}_q\rangle$ on AdS$_5\times$S$^5$, providing new and highly non-trivial checks of the AdS/CFT correspondence. Our method works for a more general class of multi-particle correlators and can be used to bootstrap new results at strong coupling. |
| title | A formula for the block expansion in free CFTs and applications to ${\cal N}=4$ SYM at strong coupling |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.14077 |