6d Large Charge and 2d Virasoro Blocks
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915098164985856 |
|---|---|
| author | Heckman, Jonathan J. Sharon, Adar Watanabe, Masataka |
| author_facet | Heckman, Jonathan J. Sharon, Adar Watanabe, Masataka |
| contents | We compute observables in the interacting rank-one 6d $\mathcal{N}=(2,0)$ SCFT at large R-charge. We focus on correlators involving $Φ^n$, namely symmetric products of the bottom component of the supermultiplet containing the stress-tensor. By using the moduli space effective action and methods from the large-charge expansion, we compute the OPE coefficients $\langleΦ^nΦ^mΦ^{n+m}\rangle$ in an expansion in 1/n. The coefficients of the expansion are only partially determined from the 6d perspective, but we manage to fix them order-by-order in 1/n numerically by utilizing the 6d/2d correspondence. This is made possible by the fact that this $6d$ observable can be extracted in 2d from a specific double-scaling limit of the vacuum Virasoro block, which can be efficiently computed numerically. We also extend the computation to higher-rank SCFTs, and discuss various applications of our results to 6d as well as 2d. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05944 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 6d Large Charge and 2d Virasoro Blocks Heckman, Jonathan J. Sharon, Adar Watanabe, Masataka High Energy Physics - Theory We compute observables in the interacting rank-one 6d $\mathcal{N}=(2,0)$ SCFT at large R-charge. We focus on correlators involving $Φ^n$, namely symmetric products of the bottom component of the supermultiplet containing the stress-tensor. By using the moduli space effective action and methods from the large-charge expansion, we compute the OPE coefficients $\langleΦ^nΦ^mΦ^{n+m}\rangle$ in an expansion in 1/n. The coefficients of the expansion are only partially determined from the 6d perspective, but we manage to fix them order-by-order in 1/n numerically by utilizing the 6d/2d correspondence. This is made possible by the fact that this $6d$ observable can be extracted in 2d from a specific double-scaling limit of the vacuum Virasoro block, which can be efficiently computed numerically. We also extend the computation to higher-rank SCFTs, and discuss various applications of our results to 6d as well as 2d. |
| title | 6d Large Charge and 2d Virasoro Blocks |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.05944 |